Lesson 15

Finding This Percent of That

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Problem 1

  1. To find 40% of 75, Priya calculates \(\frac{2}{5} \boldcdot 75\). Does her calculation give the correct value for 40% of 75? Explain or show how you know.
  2. If \(x\) represents a number, does \(\frac{2}{5} \boldcdot x\) always represent 40% of that number? Explain your reasoning.

Solution

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Problem 2

Han spent 75 minutes practicing the piano over the weekend. For each question, explain or show your reasoning.

  1. Priya practiced the violin for 152% as much time as Han practiced the piano. How long did she practice?
  2. Tyler practiced the clarinet for 64% as much time as Han practiced the piano. How long did he practice?

Solution

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Problem 3

Last Sunday 1,575 people visited the amusement park. 56% of the visitors were adults, 16% were teenagers, and 28% were children ages 12 and under. Find the number of adults, teenagers, and children that visited the park.

Solution

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Problem 4

Order from greatest to least:

  • 55% of 180
  • 300% of 26
  • 12% of 700

Solution

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Problem 5

Complete each statement.

  • 20% of 60 is ________
  • 25% of ________ is 6
  • ________% of 100 is 14
  • 50% of 90 is ________
  • 10% of ________ is 7
  • 30% of 70 is ________

 

Solution

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(From Unit 3, Lesson 14.)

Problem 6

A shopper needs 24 sandwich rolls. The store sells identical rolls in 2 differently sized packages. They sell a six-pack for $5.28 and a four-pack for $3.40. Should the shopper buy 4 six-packs or 6 four-packs? Explain your reasoning.

Solution

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(From Unit 3, Lesson 9.)

Problem 7

On a field trip, there are 3 chaperones for every 20 students. There are 92 people on the trip. Answer these questions. If you get stuck, consider using a tape diagram.

  1. How many chaperones are there?
  2. How many children are there?

Solution

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(From Unit 2, Lesson 15.)