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The Percent Proportion

The Percent Proportion. 7 th Grade Math. The Percent Proportion. Vocabulary Review Ratio A comparison of two numbers written as a fraction Proportion A statement stating that two ratios are equal. The Percent Proportion. p ercent. a. p. part (is). =. w. 100. whole (of).

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The Percent Proportion

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  1. The Percent Proportion 7th Grade Math

  2. The Percent Proportion Vocabulary Review • Ratio • A comparison of two numbers written as a fraction • Proportion • A statement stating that two ratios are equal

  3. The Percent Proportion percent a p part (is) = w 100 whole (of) a is p percent of w

  4. Finding the Percent • What percent of $15 is $9? • a = 9 • p = “what percent” • w = 15 9 p a p = = 15 w 9 · 100 = 15 · p 900 = 15p p = 60 100 100

  5. Finding the Part • What is 40% of 120? • a = “what is” • p = 40 • w = 120 a 40 a p = = 120 w a · 100 = 120 · 40 100a = 4800 a = 48 100 100

  6. Finding the Whole • 18 is 25% of what? • a = 18 • p = 25 • w = “of what” 18 25 a p = = w w 18 · 100 = w · 25 1800 = 25w w = 72 100 100

  7. Practice Problems • What percent of 60 is 15? • What is 15% of 60?

  8. Practice Problems • 9 is 45% of what? • $3 is what percent of $40?

  9. Practice Problems • 12% of 72 is what? • 75 is 20% of what?

  10. Real World Problems 2 25 = w 100 • Roman has 2 red pencils in his backpack. If this is 25% of the total number of pencils, how many pencils are in his backpack? • a = 2 • p = 25 • w = total pencils

  11. Real World Problems 24 p = 60 100 • Of the 60 books on a bookshelf, 24 are nonfiction. What percent of the books are nonfiction? • a = 24 • p = what percent • w = 60

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