1. Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 6.4 Solving Percent Problems with Proportions

2. Martin-Gay, Prealgebra & Introductory Algebra, 3ed 22 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. To understand the proportion method, recall that 30% means the ratio of 30 to 100, or. Writing Percent Problems as Proportions

3. Martin-Gay, Prealgebra & Introductory Algebra, 3ed 33 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Since the ratio is equal to the ratio, we have the proportion called the percent proportion. Writing Percent Problems as Proportions,

4. Martin-Gay, Prealgebra & Introductory Algebra, 3ed 44 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. always 100 or percent base amount Percent Proportion

5. Martin-Gay, Prealgebra & Introductory Algebra, 3ed 55 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. When we translate percent problems to proportions, the percent, p, can be identified by looking for the symbol % or the word percent. The base, b, usually follows the word of. The amount, a, is the part compared to the whole. Symbols and Key Words

6. Martin-Gay, Prealgebra & Introductory Algebra, 3ed 66 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Part of ProportionHow It’s Identified Percent% or percent Base Amount Appears after of Part compared to whole Helpful Hints

7. Martin-Gay, Prealgebra & Introductory Algebra, 3ed 77 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. What number is 20% of 8? amountpercentbase amount base percent Solving Percent Proportions for the Amount

8. Martin-Gay, Prealgebra & Introductory Algebra, 3ed 88 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 20 is 40% of what number? amountpercentbase amount base percent Solving Percent Proportions for the Base

9. Martin-Gay, Prealgebra & Introductory Algebra, 3ed 99 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. What percent of 40 is 8? amountpercentbase amount base percent Helpful Hint Recall from our percent proportion that this number, p already is a percent. Just keep the number the same and attach a % symbol. Solving Percent Proportions for the Percent

10. Martin-Gay, Prealgebra & Introductory Algebra, 3ed 10 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. A ratio in a proportion may be simplified before solving the proportion. The unknown number in both and is 20. Helpful Hint