skills practice for lesson 2 - central cusd 4 i ch. 2 skills...skills practice skills practice for...

Chapter 2 ● Skills Practice 281

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Skills Practice Skills Practice for Lesson 2.1

Name _____________________________________________ Date _________________________

Left-Handed Learners Using Samples, Ratios, and Proportions to Make Predictions

Vocabulary Match each definition to its corresponding term.

1. a group of items that are selected at random from a a. biased

larger group of items called the population

2. a way to compare two quantities that are measured b. extremes

in the same units by using division

3. an equation that states that two ratios are equal c. means

4. the two inside quantities of a proportion d. proportion

5. the two outside quantities of a proportion e. randomly chosen

6. a method for selecting people or items from a f. ratio

population for a survey

7. no particular rule was used to make a choice g. sample

8. a sample that does not accurately represent all of h. sampling method

a population

282 Chapter 2 ● Skills Practice

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Problem Sets Write each ratio as a fraction. Then write the ratio using colon notation.

1. There are 600 students in your school. If 68 students are surveyed, what is the ratio of the

survey participants to the total number of students?

68 students surveyed

_____________________ 600 students

; 68 students surveyed : 600 students

2. There are 1000 students in your school. If 130 students are surveyed, what is the ratio of the

survey participants to the total number of students?

3. The table below shows the results of a survey asking students which sport they are

currently playing. What is the ratio of soccer players to tennis players?

Grade Soccer Field Hockey Tennis Other

9 5 2 2 3

10 4 8 3 7

11 3 11 5 6

12 6 5 3 2

4. The table below shows the results of a survey asking students which class they prefer. What

is the ratio of students who prefer Art History to students who prefer World History?

Grade World History Mathematics Literature Art History Science

9 3 2 6 7 4

10 2 2 5 8 6

11 1 4 7 9 5

12 4 3 7 4 4


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5. The table below shows the results of a survey asking a group of residents of your town

which type of pet they own. What is the ratio of residents who own fish to the total number

of residents?

Type of Pet Number of Residents

Dog 135

Cat 150

Fish 75

Bird 41

Turtle 11

6. The table below shows the results of a survey asking a group of residents of your

town which restaurant is their favorite. What is the ratio of residents who prefer Super

Sandwiches to the total number of residents?

Restaurant Number of Residents

Pizza Express 90

Espresso Café 110

Super Sandwiches 65

Pasta Palace 56

Freshest Fish 73

Barbeque King 43


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Write and solve a proportion to answer each question.

7. Roberta is prescribed 8 milligrams of a medication every day, based on her weight of 140

pounds. Three months later, she weighs 120 pounds. Assuming that the dosage is based on

Roberta’s weight, what should the new dosage be?

8 milligrams

____________ 140 pounds

� x milligrams

____________ 120 pounds

960 � 140x

x � 6.86

The new dosage should be 6.86 milligrams.

8. A 15-ounce box of breakfast cereal costs $3.25. What would you expect to pay for a

24-ounce box of the same cereal?

9. The distance on a map from Pensacola, Florida, to Tallahassee, Florida, is 8 inches. Eight

inches on the map represents 200 actual miles. What is the actual distance, in miles,

between Pensacola and Miami, Florida, if the map distance is 27 inches?

10. A recipe indicates that 1 teaspoon of salt is required for 6 servings. If the recipe is to be

adapted for 24 servings, how much salt is required?


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Identify the sampling method described in each situation.

11. Among students in a school, everyone wearing a blue shirt on Wednesday is asked a survey

question.

systematic sample

12. A computer program chooses all the people in a school whose ID number ends in the

number 9.

13. All of the students in one classroom are asked a survey question.

14. A computer program randomly chooses 10 people each from freshman, sophomore, junior,

and senior high students.

Explain why each sample is biased.

15. A survey sample to identify the careers of all college students consists of college students

who are science majors.

Not all students are science majors; science majors might have different opinions on a particular survey question than other students.

16. To determine which fruit students in her school enjoy the most, Erica asked her friends what

their favorite fruit is.

17. In a recent survey to project which presidential candidate would be elected, only Democrats

were questioned.

18. Metro Transit passengers who rode on bus route #7 were queried on their satisfaction with

the service to determine the overall Metro Transit passenger satisfaction with all bus and

train service.


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Use the survey results to answer each question.

19. An unbiased sample of the freshman class was asked whether they prefer to drink milk or

water with their lunch. Out of 100 students, 73 of the students surveyed prefer water, and

27 of the students prefer milk. The freshman class is going on a field trip and the school is

providing each student with a lunch. Based on the results of the survey, should the school

serve water or milk?

Seventy-three of the students surveyed prefer water. Because the sample was unbiased, we can use it to make predictions about the entire freshman class. Since the majority of the class prefers water, the school should serve water with their lunch.

20. A random sample of residents of Springfield are asked if they would rather have a new

bakery, pizza place, or coffee shop added downtown. Out of 100 residents surveyed,

34 of the residents chose the bakery, 12 chose the pizza place, and 54 chose the coffee

shop. Based only on this survey, which type of business should be added to downtown

Springfield?

21. The boys’ and girls’ high school soccer teams are getting new team uniforms, and the

coach wants help from his players to determine the design. He asks the junior girls on the

girls’ soccer teams whether they prefer design A, B, C, or D. Out of 100 players, 15 of the

junior girls select design A, 5 of the junior girls select design B, 8 of the junior girls select

design C, and 72 of the junior girls select design D. What can you conclude from the results

of this survey?

22. A new art class will be offered in the spring. It will either be Graphic Design, Introduction

to Pottery, Oil Painting, or Black and White Photography. To determine which class will be

offered, the principal asks only the students in your math class which art class they prefer.

Out of the 30 students in your class, 19 chose Graphic Design, 5 chose Introduction to

Pottery, 4 chose Oil Painting, and 2 chose Black and White Photography. What can you

conclude from the results of this survey?


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Name _____________________________________________ Date _________________________

Making Punch Ratios, Rates, and Mixture Problems

Vocabulary Write the definition of each term in your own words.

1. part

2. proportion

3. rate

4. ratio


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Problem SetsWrite each sentence as a rate .

1. A train travels 225 miles in 3 hours.

225 miles __________ 3 hours

2. A person walked 8 miles in 3 hours.

3. Liberty Academy averages 23.5 students per class.

4. Marquette, Michigan, averages nearly 200 inches of snow per year.

Write and solve a proportion to answer each question.

5. Your favorite chili recipe calls for 2 pounds of ground beef and 3 onions. For a holiday party,

you want to make a very large batch of chili. If you use 15 pounds of ground beef, how

many onions will you need?

2 pounds

_________ 3 onions

� 15 pounds

___________ x onions

2x � 45

x � 22.5

For 15 pounds of ground beef, you will need 22.5 onions.

6. A sausage recipe at a deli requires 100 pounds of ground pork, 0.25 pound of sage, 0.25

pound of pepper, and 1 tablespoon of ground mustard. How many tablespoons of ground

mustard are required if you are adapting the recipe for 5 pounds of ground pork?

7. A coffee shop sells a variety of coffee beans. Honduran coffee beans cost $8 per pound,

Chilean coffee beans cost $13.50 per pound, and Guatemalan coffee beans cost $9 per

pound. How much do 3 pounds of Chilean coffee beans cost?


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8. The local PTA is having an open house and will serve coffee to the attendees. If a 10-cup

coffee pot requires 5 tablespoons of ground coffee beans, how many tablespoons of coffee

beans are required for 45 cups of coffee?

Use rates to answer each question.

9. Which player had a better free throw rate?

Player Free Throws

Made Attempted

Neil 215 342

Dwight 358 596

Neil:

215 made ______________ 342 attempted

� 0.628 made per attempt

Neil made 0.628 free throws for every attempt.

Dwight:

358 made ______________ 596 attempted

� 0.6 made per attempt

Dwight made 0.6 free throws for every attempt.

Neil had a better free throw rate.

10. Which player had a better field goal rate?

Player Field Goals

Made Attempted

Ray 375 766

Brian 582 1219


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11. Did Kevin make a higher rate of field goals or free throws?

Player Field Goals Free Throws

Made Attempted Made Attempted

Kevin 376 714 109 130

12. Did Chris make a higher rate of field goals or free throws?

Player Field Goals Free Throws

Made Attempted Made Attempted

Chris 420 855 360 445


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Use ratios to answer each question.

13. One baseball player batted 12,364 times in his career and hit 755 home runs. Another

baseball player batted 8399 times in his career and hit 714 home runs. Who hit more

home runs per time at bat?

first player: home runs ____________ times at bat

� 755 _______ 12,364

� .06

second player: home runs ____________ times at bat

� 714 _____ 8399

� .09

The second player hit 0.09 home runs per time at bat, and the first player hit 0.06 home runs per time at bat. Therefore, the second player hit more home runs per time at bat.

14. Food Store A sells 6 cans of soup for $2.00. At Food Store B, the price is 5 cans for $1.85.

Which is the better buy?

15. While playing an asteroid blasting video game, Luke fired 450 shots and successfully

destroyed 300 asteroids. What was his success ratio?

16. The United States Postal Service delivered 202.7 billion pieces of mail in 2008. The U.S.

population, as of February 2009, was 305,955,569. Using the February 2009 estimate of the

U.S. population, what is the ratio of the number of pieces of mail delivered to the number of

people?


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17. Density is a ratio, calculated as mass per volume ( density � mass ________ volume

) . The density of

aluminum is 2.7 grams per 1 cubic centimeter (g/cm3). What mass of aluminum has a

volume of 100 cubic centimeters?

18. On a 75-question multiple-choice test, Madeline answered 62 questions correctly. On a

70-question multiple-choice test, Sanford answered 59 questions correctly. Who answered

a higher rate of questions correctly? Round to the nearest whole percent.


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Name _____________________________________________ Date _________________________

Shadows and Proportions Proportions and Indirect Measurement

Vocabulary Write the term from the box that best completes each statement.

corresponding sides rate similar unit rate

1. Two figures are if they have the same shape but not necessarily the

same size.

2. When two triangles are similar, their are pairs of sides that are in the

same relative position in both triangles.

3. A(n) is the rate per one given unit.

4. A ratio in which the units of the quantities being compared are different is known

as a(n) .

Problem Set Use the diagram to answer each question.

1. Triangle ABC is similar to triangle DEF.

A

B C

D

E F

If AC � 4 centimeters, CB � 3 centimeters, and DF � 12 centimeters, what is FE?

___

AC and ___

DF are corresponding sides, and ____

CB and ___

FE are corresponding sides.

AC ___ DF

� CB ____ FE

4 ___ 12

� 3 __ x

4x � 36

x � 9

FE � 9 centimeters


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2. Triangle ABC is similar to triangle DEF.

A

B C

D

E F

If AB � 5 centimeters, DE � 20 centimeters, and AC � 4 centimeters, what is DF?

3. Triangle RST is similar to triangle MNO.

R

M

S T

9 in.4 in.

6 in. 11 in.

16.5 in.

N O

Given the dimensions of triangles RST and MNO, calculate the length of ____

MN .

4.

5 in.3 in.

Photo Poster

15 in.

h

A rectangular photo is to be enlarged as a similar rectangular poster. If one side of the

poster is 15 inches, what is the other side of the poster when the original photo is 3 by

5 inches?


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5.

A

B

CD

E

7 m

25 m

300 m

An engineer draws the diagram shown to help him determine the height of a building. The

building height is represented by ___

BC . He knows that ___

AD is 25 meters, ___

ED is 7 meters, and ___

AC is 300 meters. Triangles AED and ABC are similar. What is the height of the building?

6. Figures ABCDE and VWXYZ are similar.

A

B C

V

W X

D Z YE

If AB � 56 millimeters, VW � 148 millimeters, and ED � 84 millimeters, what is ZY?


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7. Triangles NOP and MOR are similar.

M N O

22 ft24 ft

18 ft8 ft

P

R

Using the values given, what is MR?

Calculate each unit rate.

8. A car was driven 243.4 miles and used 12 gallons of gas. How many miles could the car be

driven per gallon of gas?

243.4 miles ___________ 12 gallons

� x miles ________ 1 gallon

243.4 � 12x

x � 20.283

For every gallon of gas, the car could be driven approximately 20.3 miles.

9. A package of 16 rolls of paper towels retails for $11.99. How much does each roll cost?

10. Stephanie is reading a book. There are 268 pages in the book, and she has 14 days to

complete the reading. How many pages must she read each day?


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11. A motorboat traveled 126 kilometers in 4 hours. What was its speed in kilometers per hour?

12. Letitia is in training and needs to walk 20 kilometers. If she walks this distance in 3 hours,

what is her speed in kilometers per hour?

13. Walter is doing push-ups. If he can do 210 push-ups in 30 minutes, how many does he do

each minute?

Use a unit conversion to answer each question.

14. There are 5280 feet in every mile. How many feet are in 15 miles?

5280 feet _________ 1 mile

� f feet ________ 15 miles

f � 79,200 feet

There are 79,200 feet in 15 miles.

15. An inch is equivalent to 2.54 centimeters. How many inches equal 26.84 centimeters?


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16. One day, 1 Euro equaled 1.33 U.S. dollars, and 1 Euro equaled 0.67 pound. Wendy was

traveling in Britain and needed to exchange her U.S. dollars for pounds. If she had $100,

how many pounds did she have?

17. One day, 1 Japanese yen equaled 0.010219 U.S. dollars. Monica was traveling to Japan on

business and converted $300 to yen. After leaving Japan, Monica went to Sydney, Australia,

on vacation, where she needed Australian dollars. She had another $200 to convert to

Australian dollars. How many Australian dollars did she have if 1 yen � 0.016 Australian

dollars?

W rite an equation to model each situation.

18. An oak tree was planted along a street. The seedling was 5 feet tall at planting, and the

tree’s average growth rate is 1 __ 2

foot per year. Write an equation to model the height, h, of

the tree in feet, t years after being planted.

h � 1 __ 2 t � 5

19. A maple tree grows at a rate of 1 foot per year, and the tree is 3 feet tall when it is planted.

Write an equation to model the height of the tree, h, in feet, t years after being planted.


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20. Sam is in a bike race. He rides at an average speed of 25 miles per hour. Use the table

below to write an equation to model his total distance traveled, d, in miles, after t minutes.

Time (in hours) Distance (in miles)

0 0

1 25

2 50

3 75

4 100

21. Diana is running a marathon. Her average speed is 8 minutes per mile. Use the table below

to write an equation to model her total distance, d, in miles, after t minutes.

Time (in minutes) Distance (in miles)

0 0

1 0.125

2 0.250

3 0.375

4 0.500

5 0.625


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Name _____________________________________________ Date _________________________

TV News Ratings Ratios and Part-to-Whole Relationships

Vocabulary Give an example of each term.

1. equation

2. part-to-whole relationship

3. ratio

4. scale

Problem SetsW rite a ratio for each problem statement.

1. A random survey of 1000 people in your city shows that there are 125 children for every

1000 people in your community. Write a ratio describing this relationship.

125 children ____________ 1000 people

2. Of 500 residents of your city who randomly completed a survey, 220 were originally from

another town or city. Write a ratio describing this relationship.

3. A company employs 300 people, and 120 of them have children. Express this relationship

using a ratio.

4. At your cousin’s birthday party, 24 of the 60 guests are female. Express this relationship

using a ratio.


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Use the given information to answer each question.

5. Of the 1000 residents of your city that were randomly surveyed, 480 of them were male.

Your city has an actual population of 50,000. Approximately how many people in your city

are male?

480 male ______________ 1000 residents

� x ________________ 50,000 residents

24,000,000 � 1000x

x � 24,000

Approximately 24,000 of the total residents are male.

6. Of 2000 residents of Massachusetts that were randomly surveyed, 375 of them were over

the age of 60. Estimate how many residents over the age of 60 live in Massachusetts, if

there are approximately 6,350,000 total Massachusetts residents.

7. Eighty of 130 students in your school that were randomly surveyed had at least one older

brother or sister. If there are 910 total students in your school, approximately how many

have at least one older brother or sister?

8. Two hundred randomly selected teachers in your school district were asked if they had

been teaching for 5 years or more, and 106 of them responded yes. If there are 518 total

teachers in your school district, approximately how many have been teaching for 5 years

or more?


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9. Grant, Harris, and Isabel are running for class treasurer. One hundred randomly selected

students were surveyed to project the winner, and 1500 students voted in the election.

If 60 students surveyed voted for Isabel, estimate the total number of students that voted

for Isabel.

60 votes for Isabel ______________________ 100 surveyed students

� x total votes for Isabel ______________________ 1500 total students

90,000 � 100x

x � 900

Based on the survey, approximately 900 students voted for Isabel.

10. Jake, Kirstin, Liz, and Manny ran for class vice president. One hundred fifty randomly

selected students were surveyed to project the winner, and 2500 students voted in the

election. If 42 students surveyed voted for Jake, estimate the number of total students that

voted for Jake.

11. A company is hosting a holiday party for all of its 1200 employees. They randomly survey

300 people to determine how many of each appetizer they should order. If 210 of the 300

people surveyed said they would eat egg rolls, how many total employees are likely to eat

egg rolls?

12. A customer satisfaction company monitors a representative sample of a city’s public

transportation system. They state that 35 transportation routes regularly run on time,

out of a total of 42 monitored routes. If the city has 167 total transportation routes,

approximately how many of them run on time?


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Write an equation to represent each situation.

13. During each major league baseball game, approximately 72 balls are used. Write an

equation to determine the number of baseballs, b, used for any number of games, g.

Using the given ratio:

72 ___ 1 � b __ g

72g � b

b � 72g

14. In one National Football League game, approximately 35 footballs are used. Write an

equation to determine the number of footballs, f, used for any number of games, g.

15. The ratio of students who play computer games versus the total number of students is 3 __ 7 .

Write an equation that shows the number of students who play computer games given any

number of total students.

16. The ratio of students who watch the show Ultimate Dance Contest versus the total number

of students is 4 ___ 11

. Write an equation that shows the total number of students given any

number of students who watch Ultimate Dance Contest.


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Name _____________________________________________ Date _________________________

Women at a University Ratios, Part-to-Part Relationships, and Direct Variation

Vocabulary Explain the difference between each pair of terms.

1. part-to-whole relationship versus part-to-part relationship

2. ratio versus constant ratio

Problem Set

W rite a ratio for each problem situation.

1. A random survey of 1000 people in your city shows that two sports have the most television

viewers, football and men’s professional golf. For every 2 football viewers, there are 3 golf

viewers. Write a ratio comparing the number of football viewers to golf viewers.

2 football viewers _________________ 3 golf viewers

2. Three hundred people were randomly surveyed. Of those 300 surveyed, 180 participants

were female and 120 participants were male. What is the ratio of female to male survey

participants?

3. A random survey was conducted asking people if they preferred black-and-white or

color photographs. Of the 400 people surveyed, 180 preferred black-and-white, and the

rest preferred color. What is the ratio of people surveyed who preferred black-and-white

photographs to the people who preferred color photographs?


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4. An advertisement claims that five out of six participants surveyed preferred their gum, Super

Mint, to the competition. Write a ratio to compare the number of participants who preferred

Super Mint gum to the number of participants who preferred another type of gum.

Use ratios and proportions to answer each question.

5. Jacob has a large bag of marbles. Looking at a sample of marbles from the bag, he

estimates that he has 12 red marbles for every 3 green marbles. If there are 60 red

marbles in the bag, estimate the number of green marbles in the bag.

3 green marbles

________________ 12 red marbles

� x green marbles

________________ 60 red marbles

180 � 12x

x � 15

There are about 15 green marbles in the bag.

6. For every 2 DVD players, an electronics store sells 7 DVDs. Estimate the number of DVD

players they will sell if they sell 56 DVDs.

7. To eat a balanced diet, every week Jacob eats 9 servings of vegetables for every 4 servings

of dairy. If he ate 45 servings of vegetables in one week, approximately how many servings

of dairy did he eat?


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8. Esak has a collection of coins. He knows that he has 100 rare dimes, and about half as

many rare nickels. Using this same proportion, approximately how many rare nickels would

Esak have if he increased his collection to 200 rare dimes?

Write an equation for each problem. Then solve the equation.

9. In an electrical transformer, voltage is directly proportional to the number of turns on the

coil. If 220 volts comes from 50 turns, how many volts would come from 65 turns?

Let y � the number of volts and let x � the number of turns.

Using k � y __ x , k � 220 volts _________

50 turns � 4.4 volts per turn. So, y � 4.4x.

The number of volts y that would come from 65 turns is 4.4(65) � 286 volts.

10. Kelsey’s wages vary with the number of days that she works. If her wages for 5 days are

$250, what are her wages for 22 days?

11. The weight of an object on the moon varies directly with the weight of the same object

on Earth. If Joseph, in all of his astronaut gear, weighs 360 pounds on Earth but only 60

pounds on the moon, what equation could be used to calculate Joseph’s weight on the

moon if he weighs 120 pounds on Earth?


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12. A baker is using a recipe that calls for 5 eggs for every 3 dozen cream puffs made. Over

three days, the baker received orders for 12 dozen cream puffs. How many eggs does the

baker need to fulfill the cream puff orders?

13. An inkjet printer is capable of printing 80 characters per second. If a document has 5188

characters, how much time is required to print the document?

14. Ming makes $20 per hour working as a lifeguard in the summer. In one week, she makes

$405. How many hours did she work?

Write and graph an equation to model each situation. Identify the constant ratio k.

15. A student government buys pizza and bottles of water for their meetings. For every 3 pizzas

that they buy, they purchase 4 bottles of water.

Let y � number of pizzas and let x � number of bottles of water.

k � y __ x � 3 __

4

The equation that models the situation is y � kx � 3 __ 4 x.

x3024 27

18

21

24

27

30

12 15

Number of Water Bottles

Nu

mb

er o

f P

izza

s

12

15

18 210

9

3 6 9

6

3

y


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16. One airline employs 10 pilots for every 3 planes that they own.

17. An office keeps a supply of stamps and envelopes. Because they sometimes mail envelopes

that require more than one stamp, they ordered 30 stamps and 25 envelopes. They decide

to use this ratio for all of their future orders.


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18. At one branch of a sales company, the 15 sales representatives are required to have a total

of 450 clients, and each sales representative has the same number of clients. The company

requires that all of its sales representatives maintain this same representative-to-client ratio.


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Name _____________________________________________ Date _________________________

Tipping in a Restaurant Using Percents

Vocabulary Define each term in your own words.

1. fraction

2. percent

3. decimal

4. proportion

Problem Set Write each percent as a fraction and a decimal.

1. 55% 2. 62%

55 ____ 100

� 11 ___ 20

; 0.55

3. 1% 4. 0.5%

5. 1.2% 6. 102%

7. 212% 8. 3.4%


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Write each fraction as a decimal and as a percent.

9. 5 __ 8 10. 4 __

9

0.625; 62.5%

11. 2 ___ 12

12. 3 ___ 24

13. 7 ___ 20

14. 6 ___ 17

15. 11 ___ 60

16. 4 ___ 21

Solve each proportion.

17. 9 ___ 24

� x ____ 100

18. 5 ___ 15

� x ____ 100

900 � 24x

x � 37.5

19. 1 __ 9

� x ____ 100

20. 3 ___ 25

� x ____ 100

Calculate the percent tip that was left for each bill.

21. bill � $45.50; tip � $4.55 22. bill � $62.55; tip � $8.25

4.55 ______ 45.50

� x ____ 100

455 � 45.5x

x � 10%

23. bill � $75.25; tip � $10 24. bill � $12.60; tip � $2.55

25. bill � $110; tip � $25 26. bill � $208; tip � $50


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For each situation, calculate the tip amount if the buyer wants to leave a 15% tip.

27. At the barber shop, your haircut cost $10.99.

x ______ 10.99

� 15 ____ 100

100x � 164.85

x � $1.65

28. The butcher individually wrapped each item when preparing a family’s $450 order.

29. Your mother’s spa treatment was $45.

30. A rehearsal dinner for your sister’s wedding cost $1075.

31. The DJ at your party charged $400.

32. A cab ride to your house from the airport cost $30.50.

Calculate the amount of each bill if the given tip represents a 20% tip.

33. tip � $3.25 34. tip � $10.35

20 ____ 100

� 3.25 _____ x

20x � 325

x � $16.25


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Name _____________________________________________ Date _________________________

Taxes Deducted from Your Paycheck Percents and Taxes

VocabularyWrite the term from the box that best completes each statement.

tax rate gross pay net pay tax

1. The is a percent used to calculate the amount of money taken out of your gross

pay.

2. is the total amount of money an employee earns before any taxes or

deductions are subtracted.

3. is the amount of money that an employee earns after deductions are subtracted

from the employee’s gross pay.

4. A is a fee that is imposed by the government to pay for public works and

services.

Problem Set Calculate the tax rate for each given gross pay and taxes paid.

1. gross pay � $100,000; taxes paid � $28,050

28,050 ________ 100,000

� x ____ 100

; x � 28.05%




Calculate the amount of taxes paid for each given gross pay and tax rate.

5. gross pay: $45,892; tax rate: 13.7%

x _______ 45,892

� 13.7 _____ 100

; x � $6287.20



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Calculate the gross pay for each given amount of taxes paid and tax rate.

9. taxes paid � $2469; tax rate � 10.2%

2469 _____ x � 10.2 _____ 100

; x � $24,205.88

10. taxes paid � $6745; tax rate � 13.9%

11. taxes paid � $18,923; tax rate � 26.4%

12. taxes paid � $24,723; tax rate � 29.1%

Calculate the net pay percentage and the net pay.

13. gross pay: $145,876; tax rate � 28.9%

net pay percentage: 100% � 28.9% � 71.1%

net pay � $145,876 � 0.711 � $103,717.84

14. gross pay: $321,587; tax rate � 33%




17. Jeremy works at the checkout in a grocery store. He earns $7.50 per hour. After working a

40-hour week, the taxes deducted were $45. What is Jeremy’s tax rate?

Jeremy’s salary is $7.50 per hour � 40 hours � $300.

45 ____ 300

� x ____ 100

; x � 15%. Jeremy’s tax rate is 15%.


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18. Justine earns $10 per hour as a bank teller. She is paid every 2 weeks. Justine’s first

paycheck was $675, before taxes. She was told that her tax rate would be 20%.

How much were her taxes?

19. Kevin is a lifeguard during the summer for a park district swimming center. His net salary for

15 weeks was $1500. If $225 is deducted for taxes, what is his tax rate?

20. The Olsons bring home $6500 per month in spendable income. According to their pay

stubs, $2225 in taxes were deducted. What is their tax rate?

21. Georgia earns $125 per day as a house sitter, before taxes. During the course of a year, she

has contracts for 275 days of house sitting. What is her net salary if her tax rate is 15%?

22. Ray has a dog-sitting business. In exchange for living in a person’s home for up to two

weeks at a time, he charges $100 per day plus expenses ($20 per week), before taxes.

After 43 weeks of contracted accounts, his salary was $30,960. What was his net salary

if his tax rate was 10%?

Calculate the net pay given each gross pay and tax rate.

23. gross pay: $52,000; tax rate � 15%

n � g � g ( % ____ 100

) � 52,000 � 52,000 ( 15 ____ 100

) � $44,200.00




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