Percent Welcome to Clark College Home of the enguins欢迎克拉克学院的企鹅的家.pptVIP

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Percent Welcome to Clark College Home of the enguins欢迎克拉克学院的企鹅的家.ppt

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Percent Welcome to Clark College Home of the enguins欢迎克拉克学院的企鹅的家

§ 5.3A Solving Percent Problems Using Equations Percent Problems into Equations Percent Problems into Equations Solving a Percent Problem Solving a Percent Problem: Amount Unknown Solving a Percent Problem: Base Unknown Solving a Percent Problem: Percent Unknown § 5.3B Solving Percent Problems Using Proportions The Parts of a Percent Proportion The Parts of a Percent Proportion The Parts of a Percent Proportion Solving a Percent Problem: Amount Unknown Solving a Percent Problem: Base Unknown Solving a Percent Problem: Percent Unknown *Angel, Elementary Algebra for College Students, 6e, # * * *Tobey Slater, Basic College Mathematics, 5e - Slide #* * To solve a percent problem, we express it as an equation with an unknown quantity. Multiplication symbol: ? or ( ) or · of n = find Any letter, for example, n what = is Mathematical Symbol Word The following table is helpful when translating from a percent problem to an equation. Example: Translate into an equation. What is 9% of 65? n = 9% ? 65 Example: Translate into an equation. 24 is what percent of 144? 24 = n ? 144 A percent problem has three different parts. 1. When we do not know the amount: n = 10% ? 500 Any one of the three quantities may be unknown. amount = percent ? base 2. When we do not know the base: 50 = 10% ? n 3. When we do not know the percent: 50 = n ? 500 amount = percent ? base Example: What is 9% of 65? n = 9% ? 65 n = (0.09) (65) n = 5.85 5.85 is 9% of 65. amount = percent ? base Example: 36 is 6% of what? n = 6% ? 36 36 = 0.06n 36 is 6% of 600. amount = percent ? base n = 144 ? 24 Example: 24 is what percent of 144? Proportions are another way to solve a percent problem. To use this proportion, we need to find the amount, base, and percent number in a word problem. 10% of 500 is 50. p is the percent number. The base, b, is the entire quantity. The amount, a, is the part compared to the whole. Example: Identify the amount, base, and percent number. What is 9% of 65? The amount,