Lesson 10
What Are Percentages?
Problem 1
What percentage of a dollar is the value of each coin combination?
- 4 dimes
- 1 nickel and 3 pennies
- 5 quarters and 1 dime
Solution
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Problem 2
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List three different combinations of coins, each with a value of 30% of a dollar.
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List two different combinations of coins, each with a value of 140% of a dollar.
Solution
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Problem 3
The United States government used to make coins of many different values. For each coin, state its worth as a percentage of $1.
![A photo of five different coins.](https://cms-im.s3.amazonaws.com/P6FrdSysSRXAQprhuXWsUAcb?response-content-disposition=inline%3B%20filename%3D%226-6.3.D10.Image.Revision.77.png%22%3B%20filename%2A%3DUTF-8%27%276-6.3.D10.Image.Revision.77.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240630%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240630T192442Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=5fe10e350ecedd3014cbfd2b31b19b6d1a38ab92ee636df6aa1d87b0367407ce)
\(\frac12\) cent
3 cents
20 cents
$\(2 \frac12\)
$5
Solution
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Problem 4
Complete the double number to line show percentages of $50.
![A double number line. Money, dollars.](https://cms-im.s3.amazonaws.com/x2zcfwH9V57N84dth2uADDkj?response-content-disposition=inline%3B%20filename%3D%226-6.3.D1.PP.Image.Rev.0303.png%22%3B%20filename%2A%3DUTF-8%27%276-6.3.D1.PP.Image.Rev.0303.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240630%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240630T192442Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=e7b729157978f38acfc83e2a94eebc39af1a39dc4f99748e27f7d48720399438)
Solution
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Problem 5
Elena bought 8 tokens for $4.40. At this rate:
- How many tokens could she buy with $6.05?
- How much do 19 tokens cost?
Solution
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(From Unit 3, Lesson 9.)Problem 6
A snail travels 10 cm in 4 minutes. At this rate:
- How long will it take the snail to travel 24 cm?
- How far does the snail travel in 6 minutes?
Solution
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(From Unit 3, Lesson 8.)Problem 7
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3 tacos cost \$18. Complete the table to show the cost of 4, 5, and 6 tacos at the same rate.
number of tacos cost in dollars rate in dollars per taco 3 18 4 5 6 - If you buy \(t\) tacos for \(c\) dollars, what is the unit rate?
Solution
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(From Unit 3, Lesson 7.)