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

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

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

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,

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

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

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

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

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

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

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

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