Solving Percent Problems with Proportions Section 7.3.

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Presentation transcript:

Solving Percent Problems with Proportions Section 7.3

To understand the proportion method, recall that 30% means the ratio of 30 to 100, or. ratio of 30 to 100, or. 30%   Writing Percent Problems as Proportions 2 Martin-Gay, Prealgebra, 5ed

Since the ratio is equal to the ratio, we have the proportion ratio, we have the proportion called the percent proportion. Writing Percent Problems as Proportions..., 3 Martin-Gay, Prealgebra, 5ed

always 100 or percent base amount Percent Proportion 4 Martin-Gay, Prealgebra, 5ed

When we translate percent problems to proportions, the percent can be identified by looking for the symbol % or the word percent. The base usually follows the word of. The amount is the part compared to the whole. 5 Martin-Gay, Prealgebra, 5ed

Helpful Hint Part of Proportion How It’s Identified Percent % or percent Base Amount Appears after of Part compared to whole 6 Martin-Gay, Prealgebra, 5ed

What number is 20% of 8? amountpercentbase amount base percent Solving Percent Proportions for the Amount 7 Martin-Gay, Prealgebra, 5ed

20 is 40% of what number? amountpercentbase amount base percent Solving Percent Proportions for the Base 8 Martin-Gay, Prealgebra, 5ed

What percent of 40 is 8? amountpercentbase amount base percent Solving Percent Proportions for the 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. 9

Helpful Hint A ratio in a proportion may be simplified before solving the proportion. The unknown number in both and and is Martin-Gay, Prealgebra, 5ed