would you rather…

Would you rather….

Have a 30 acre crop

planted with

seeds the carry a

58% survival

rate

Have 50 acre crop planted with seeds that carry a 38% survival rate

http://www.youtube.com/watch?v=hQ5lk735-Fk

6.1-6.4 JEOPARDY!

• YOU MAY USE YOUR CALCULATOR, NOTES, AND THE BOOK TO ASSIST YOU

• SHOW ALL WORK AS YOU GO• MARK PROBLEMS THAT WERE

MOST CHALLENGING FOR YOU• GO BACK AND STUDY THOSE

PROBLEMS TONIGHT

6.1 6.2 6.3 6.4

$100 $100 $100 $100

$200 $200 $200 $200

$300 $300 $300 $300

$400 $400 $400 $400

$500 $500 $500 $500

6.1 $100

6.1 $100 answer

Set up proportionAlways out of 100%

Use cross products300 = 8X

Divide by 8

Answer: 37.5%

Numbers Percent

Part 3 xTotal 8 100%

6.1 $200

20% as a fraction

6.1 $200, answer

We know the total is always out of 100%.

Simplify. Divide by 20/ 20

20/20 is the same as one whole

20%100%

20% ÷20=

1

100%÷20=

5

6.1 $300

Convert the fraction to a decimal

3 7

6.1 $300, answer

The − sign means divide

Round to the nearest hundreth or thousandth

Answer: .43 or .429

3 ÷ 7 =

3 7

6.1 $400

Put in order from least to greatest:

245%, ⅘, 66%, .133

6.1 $400, answer

.133 = 13.3%

Choose one form to put all the number in. I chose percents since there are already 2 of them.

Use proportions and cross products.

⅘ = 80%

Decimal %

Multiply by 100

Numbers %

Part 4 x

Total 5 100%

Original

245% ⅘ 66% .133

Percents

245% 80% 66% 13.3%

Answer:

4 3 2 1

6.1 $500

About 342,000 km2 of Greenland’s total area (2,175,000 km2) is not covered with ice. To the nearest percent, what percent of Greenland’s total area is not covered with ice?

6.1 $500, answer

km2 %

Not covered in Ice

342,000 km2 xTotal area 2,175,000 km2 100%

Write and label a proportion. The total is always out of 100%.

Answer: 16%

Use cross products to solve

342,000 (100) = 2,175,000x

6.2 $100

Shannon’s printing company has determined that approximately 6% of the books it prints have errors.

Out of a printing run of 2050 books, Lexi, the production manager estimates that 250 books have errors. Estimate to see if Lexi’s number is reasonable.

Explain.

6.2 $100, answer

6% 2050 ≈ 5% 2000 Estimate and use easy numbers.

≈ 0.05 2000 Write 5% as a decimal.

Multiply. ≈ 100

Answer: Lexi’s number is not reasonable. Only about 100 books have errors. 250 is much greater than 100.

6.2 $200

Estimate:

113% of 80

6.2 $200, answer

Estimate 113%

113% is close to 110%

Break into %’s you can calculate mentally:

100% + 10%

113% ≈110%

100% of 80 = 80

Answer: 80 + 8 = 88

10% of 80 = 8

6.2 $300

Estimate:

34% of 12

6.2 $300,answer

What is 34% close to?

34% ≈ 33⅓ %

33⅓% = ⅓

⅓ of 12

Answer: 4

6.2 $400

Ian had dinner with some

friends at a restaurant. The

check for his dinner was

$10.25. If he wants to leave

close to a 20% tip, about

amount Ian should pay?

6.2 $400, answer

Break down 20% to easier %’s

10% + 10% = 20%

Add the price of food + tip

10% of $10.25 ≈$1

Another 10% ≈ $1

$10.25 + $1 + $1=

Possible answer: $12.25

6.2 $500

Approximately 8% of each batch of

jeans produced at Jack’s factory is

defective. Rishi said that in a batch

of 400 jeans, about 35 jeans would

be defective. Estimate to determine

if his number is reasonable. Explain.

6.2 $500, answer

Yes, because 8% of 400 is a little less than 10% of 400. 10% of 400 is 40, and 35 is a little less than 40.

Round 8% to 10%

Calculate 10% of 400

Compare to 35

8% ≈ 10%

10% of 400 = 40

40 ≈ 35

6.3 $100

What percent of 33 is 22?

6.3 $100, answer

Answer: 66⅔ %

Set up proportion

Use cross products to solve

Divide by 33

# %Part/ Is 22 x

Total/ Of 33 100%

22(100) = 33 X

6.3 $200

Of Earth’s 197 million mi2 of surface area, about 139 million mi2 is water. Find the percent of Earth’s surface that is covered by water.

6.3 $200, answer

Answer: 70.6%

Set up proportion

Use cross products to solve

Divide by l97 to isolate x

# %

Part (water)

139 million mi2

x

Whole (total)

197 million mi2

100%

139 million (100) = 197 million (x)

6.3 $300

Four friends volunteered to cut the grass around their neighbor’s house. Naja cut 23% of the grass, Diego cut 1/5 of the grass, Michael cut 0.31 of the grass, and Max cut the rest. What percent of the grass did Max cut?

6.3 $300, answer

100% -23% - 20% -31% = X

100%-74%= X

26% = x

Naja Diego Michael

Max

Amount

23% 1/5 .31 x

Make all %

23% 20% 31% x

6.3 $400

Irie organizes her music collection by genre. ½ of her collection is rock, 0.125 is pop, 6% is classical, 9.5% is country, and the rest of her collection are jazz. What percent of her CD collection is jazz?

6.3 $400, answer

Convert all amounts to %

Add up all % and subtract from 100%

Answer: 22% jazz

Type of Music

Rock Pop Classical

Country

Jazz

Amount 1/2 .125 6% 9.5% x

100% 50% 12.5%

6% 9.5% x

6.3 $500

After a drought, a river had only 50⅔ % of the average amount of water flow. If the average amount of water flow is 60,000,000 gallons per day, how much water was flowing in the river after the drought?

6.3 $500, Answer

1. Set up proportion.2. Convert 50⅔ % to a decimal• ⅔ ≈ .666666 ≈.67• 50⅔ % ≈ 50.67

3. Use Cross Products to Solve• Divide by 100

Answer: 30,400,200 gallons of water after the drought

% # of gallons

Part 50⅔ % x

Whole 100% 60,000,000

6.4 $100

Sophie earned 95% on a test by answering 19 questions correctly. If each question was worth the same amount, how many questions were on the test?

6.4 $100, Answer

# %

Is 19 problems 85%

Of X 100%

• Set up proportion

• Use cross products to solve

• Divide by 85% to isolate x

Answer: 20

6.4 $200

When a giraffe is born, it is approximately 55% as tall as it will be as an adult. If a baby giraffe is 5.2 feet tall when it is born, how tall will it be when it is full grown, to the nearest tenth of a foot?

6.4 $200, Answer

# Feet %

Is 5.2 feet 55%

Of X 100%

• Set up proportion

• Use cross products to solve

• Divide by 55% to isolate X

• Round to nearest tenth

Answer: 9.5 feet

6.4 $300

Jayden and Nate caught a fish that weighed 15.5 lb. This was 85% of the weight of the largest fish that they had ever caught. What was the weight, to the nearest tenth of a pound, of the largest fish that Jayden and Nate had ever caught?

6.4 $300, Answer

# Pounds %

Fish just cauth

15.5 pounds 85%

Largest fish

X 100%

• Set up proportion

• Use cross products to solve

• Divide by 85% to isolate X

• Round to nearest tenth

Answer: 18.2 pounds

6.4 $400

Tiffany read 4 novels written by Veronica Roth. This represents 20% of the books she read this school year. How many books did Tiffany read in all?

6.4 $400, Answer

# books %Veronica Roth novels

4 20%

Total books Read

X 100%

• Set up proportion

• Use cross products to solve

• Divide by 20% to isolate X

Answer: 20 books read

6.4 $500

60 is 12% of what number?

6.4 $500, Answer

# %is 60 12%

of X 100%

• Set up proportion

• Use cross products to solve

• Divide by 12% to isolate X

Answer: 500