Over Lesson 7–2 A.A B.B C.C D.D 5-Minute Check 6 On her last math test, Nina answered 17 out of 20 questions correctly. Which fraction could not be the.

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Over Lesson 7–2 A.A B.B C.C D.D 5-Minute Check 6 On her last math test, Nina answered 17 out of 20 questions correctly. Which fraction could not be the ratio of questions she answered correctly to total number of questions on the test? A. B. C. D.

Splash Screen

Then/Now You have already worked with percent, fractions, and decimals (PSSA Survivor) Use the percent proportion to solve problems. Apply the percent proportion to real-world problems.

Concept How do you think we can set up proportions using percents?

Example 1 Find the Percent Twenty is what percent of 25? Twenty is being compared to 25. So, 20 is the part and 25 is the whole. Let n represent the percent. Write the percent proportion. Find the cross products. Multiply.

Example 1 Find the Percent Divide each side by 25. Answer: 20 is 80% of 25. Simplify.

A.A B.B C.C D.D Example 1 A.333% B.30% C.4.8% D.3.33% Twelve is what percent of 40?

Example 2 Find the Part What number is 8.8% of 20? The percent is 8.8 and the whole is 20. Let n represent the part. Answer: 8.8% of 20 is Write the percent proportion. Find the cross products. Multiply. Mentally divide each side by 100.

A.A B.B C.C D.D Example 2 A.2.12 B.0.47 C D.3825 What number is 42.5% of 90?

Example 3 Find the Whole Seventy is 28% of what number? The percent is 28% and the part is 70. Let n represent the whole. Write the percent proportion. Find the cross products. Multiply.

Example 3 Find the Whole Divide each side by 28. Answer: 70 is 28% of 250. Simplify.

A.A B.B C.C D.D Example 3 A.21.6 B.375 C.2160 D Ninety is 24% of what number?

Concept

Example 4 Apply the Percent Proportion TENNIS From 1999 to 2007, 9 years, Serena Williams won both the U.S. Open and Wimbledon twice. In what percent of both tournaments combined during those years was Serena Williams the women’s champion? Round to the nearest tenth. Compare the number of Serena Williams’ wins, 4, to the total number of tournaments played, 18. The part is 4 and the whole is 18. Let n represent the percent.

Example 4 Apply the Percent Proportion Find the cross products. Answer: Serena Williams won about 22.2% of the tournaments. Multiply. Divide each side by 18. Simplify. Write the percent proportion.

A.A B.B C.C D.D Example 4 A.53.3% B.7.8% C.1.9% D.48% BAKE SALE At the school bake sale, 23 chocolate chip cookies, 18 oatmeal raisin cookies, and 7 peanut butter cookies were sold. If the sale started with a total of 90 cookies, what percent of the cookies were sold?

End of the Lesson