there are 16 actors sitting on chairs in a theater and 10 actors standing on a stage. what is the...

There are 16 actors sitting on chairs in a theater and 10 actors standing on a

stage. What is the ratio of the

number of actors standing on the stage to the number of actors sitting on chairs?

A. 16:10    B. 10: 26      C.10:16  D. 16:26

c. 10 : 16

There are 10 ushers and 9 technicians at the Harper

Middle School fall play. What is the ratio of technicians to

all helpers?  

     A.10:9   B. 9:10 C. 9:19 D. 19:9 

c. 9 : 19

In a basket with 15 red apples and green apples, 3 out of every 5 apples are green. How many green

apples are in the basket?        A. 14 green apples                         C. 4 green apples          B. 2 green apples                            D. 9 green apples

d. 9 green apples

Julie’s soccer team has won 3 games for every 2 it has lost. The team has won a

total of 9 games and 1 game had a tie score. How many games has the team

played in all?  

     A. 14                              C. 16           B.15                               D. 18

c. 16

A sales associate estimates that he can complete 3

sales for every 15 customers that he contacts.

Based on this estimate, how many sales should he be able to complete if he contacts 90 customers?

   A.21             B. 20           C. 19      D. 18

d. 18

5 friends are racing. According to the table, which two friends

run at the same speed?

     A. Bart and Ray  B. Lauren and

Laney   C. Mike and Lauren  D. Laney and Bart

Lauren Bart Mike Laney Ray

5 mi/ 1 hr

12mi/2hr

21mi/3hr

10mi/2hr

4.5mi/1hr

B. Lauren and Laney

It took a satellite 10 minutes to travel across the United States,

a distance of approximately 3000 miles. What was the

satellite’s speed in miles per second?

Step 1:3000 ÷ 10 = 300 miles per minute

Answer:300 ÷ 60 = 5 miles per

second

Solve the following problems by using one of the tools you have learned (tape diagrams, equivalent checks, tables of equivalent

ratios, double line diagrams)

OEmma and Sarah are running laps to train for their track meet. The ratio of the number of laps Emma ran to the number of laps Sarah ran was 2 to 3. If Emma ran 12 laps, how many laps

did Sarah run?

Sarah ran 18 laps.

a) Ratio of boys to girls in the table: __________________b) Value of the ratio of boys to girls (Simplest Form):

________________c) Ratio of girls to boys: __________________d) Value of the ratio of girls to boys: _________________

Boys 4 8 12

Girls 16 32

Fill in the following table of equivalent ratios and answer the questions.

a. 4 to 8b. ½c. 8 to 4d. 2

Boys 4 8 12 16

Girls 8 16 24 32

Rebecca makes peanut butter for her friends and family. For each small jar of peanut butter she uses 33 peanuts.

Draw a table showing how many peanuts she would need if she wanted to make 5 small jars of peanut butter.

Rebecca needs 165 peanuts to make 5 small jars of peanut butter.

Small jars Peanuts

1 33

2 66

3 99

4 132

5 165

Use the peanut chart to answer:

a) What is the ratio of jars of peanut butter to number of peanuts? ______________

b) What is the value of number of jars of peanut butter to number of peanuts? ________

c) How many peanuts does Rebecca need to make 3 jars? ____________

O A. 1 to 33O B. 1/33O C. 99 peanuts

Fill in the table, create a double number line diagram to represent the table and answer the

questions.Students 10 20   40   60

Teachers 2   6 8    

a.) Using the double number line diagram, how many students are there when there are 6 teachers? ____________________

b.) How many teachers are needed when there are 40 students? ___________________

c.) The school is hiring new teachers for the 6th grade. Extend the table to see how many teachers the school would need if there were 80 students. _________________________

d.) Using the double number line diagram, how many teachers would be needed if there were 45 students? ______________________

Fill in the table, create a double number line diagram to represent the table and answer the

questions.Students 10 20  30 40 50 60

Teachers 2  4 6 8  10  12

a.) Using the double number line diagram, how many students are there when there are 6 teachers? 30

b.) How many teachers are needed when there are 40 students? 8

c.) The school is hiring new teachers for the 6th grade. Extend the table to see how many teachers the school would need if there were 80 students. 14

d.) Using the double number line diagram, how many teachers would be needed if there were 45 students? 9

10 20 30 40 50 60

2 6 8 10 124

Use tables to compare ratios. (Use the Unit rate)

O Brad placed 5 tree seedlings for every 2 acres on his property in Slidell. In Covington, he placed 7 tree seedlings for every 4 acres. Compare the ratios using tables to find which property has more seedlings per acre.

Slidell

# of seedlings

# of acres

Covington

# of seedlings

# of acres

O Which property has more seedlings per acre?

O Explain.

Use tables to compare ratios. (Use the Unit rate)

O Brad placed 5 tree seedlings for every 2 acres on his property in Slidell. In Covington, he placed 7 tree seedlings for every 4 acres. Compare the ratios using tables to find which property has more seedlings per acre.

Slidell

# of seedlings

# of acres

2.5 1

5 2

10 4

15 6

Covington

# of seedlings

# of acres

1.75 1

7 4

14 8

21 12

O Which property has more seedlings per acre? O The Slidell property has more

O Explain.O The unit rate for the Slidell property is

2.5 seedlings per acre and the Covington property is only 1.75 seedlings per acre.

OUse unit rate to determine the best value for the following review problems

Company A sells pencils in packages of 24 for $3.12. Company B sells packages of 14 for $1.54. Which is the better deal?

O A dozen of eggs costs $1.99. An economy package of 2 ½ dozen eggs costs $2.55. Which is the better deal?