Splash Screen Lesson 5 Contents Obj. #1: Use percent proportions to solve problems.. Example 1Find the Percent Example 2Find the Percent Example 3Apply.

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Presentation transcript:

Splash Screen

Lesson 5 Contents Obj. #1: Use percent proportions to solve problems.. Example 1Find the Percent Example 2Find the Percent Example 3Apply the Percent Proportion Example 4Find the Part Example 5Apply the Percent Proportion Example 6Find the Base

Lesson 5 Contents Practice and Apply Obj. #1: Use percent proportions to solve problems 9-15 odd, odd (alt. 9, 13, 21, 25) Maintaining Your Skills 29-35

Example 5-1a Twenty is what percent of 25 ? Twenty is being compared to 25. So, 20 is the part and 25 is the base. Let p represent the percent. Replace a with 20 and b with 25. Find the cross products. Simplify. Obj. #1: Use the percent proportion

Example 5-1b Divide each side by 25. Simplify. Answer: 20 is 80% of 25. Obj. #1: Use the percent proportion

Example 5-2a What percent of 8 is 12 ? Twelve is being compared to 8. So, 12 is the part and 8 is the base. Let p represent the percent. Replace a with 12 and b with 8. Simplify. Find the cross products. Obj. #1: Use the percent proportion

Example 5-2b Answer: 150% of 8 is 12. Divide each side by 8. Simplify. Obj. #1: Use the percent proportion

Example 5-3a Tennis From the years 1988 through 1996 Steffi Graf won the U.S. Open tennis championships five times and Wimbledon seven times. What percent of both tournaments combined during those years was Steffi Graf the women’s champion? Compare the number of Steffi Graf’s wins, 12, to the total number of tournaments played, 18. Let a represent the part, 12, and let b represent the base, 18, in the percent proportion. Let p represent the percent. Replace a with 12 and b with 18. Obj. #1: Use the percent proportion

Example 5-3b Find the cross products. Simplify. Divide each side by 18. Simplify. Answer:Steffi Graf won about 66.7% of the tournaments. Obj. #1: Use the percent proportion

Example 5-4a What number is 8.8% of 20 ? The percent is 8.8, and the base is 20. Let a represent the part. Answer: 8.8% of 20 is Replace b with 20 and p with 8.8. Find the cross products. Simplify. Mentally divide each side by 100. Obj. #1: Use the percent proportion

Example 5-5a Recycling At Kington Middle School, 600 students were asked if their families recycle cans and/or newspapers. 32% said they recycle both; 25% said they recycle cans; 19% said they recycle newspapers; 24% said they do not recycle. How many families recycle both cans and newspapers? The total number of families is 600. So, 600 is the base. The percent is 32%. To find 32% of 600, let b represent the base, 600, and let p represent the percent, 32%, in the percent proportion. Let a represent the part. Obj. #1: Use the percent proportion

Example 5-5b Replace b with 600 and p with 32. Find the cross products. Simplify. Mentally divide each side by 100. Answer:192 families recycle both cans and newspapers. Obj. #1: Use the percent proportion

Example 5-6a Seventy is 28% of what number? The percent is 28% and the part is 70. Let b represent the base. Replace a with 70 and p with 28. Find the cross products. Simplify. Obj. #1: Use the percent proportion

Example 5-6b Divide each side by 28. Simplify. Answer: 70 is 28% of 250. Obj. #1: Use the percent proportion

Example 5-1c Obj. #1: Use the percent proportion

Example 5-1c Twelve is what percent of 40 ? Answer: 12 is 30% of 40. Obj. #1: Use the percent proportion

Answer: 175% of 20 is 35. Example 5-2c What percent of 20 is 35 ? Obj. #1: Use the percent proportion

Example 5-3c 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? Answer:About 53.3% of the cookies were sold. Obj. #1: Use the percent proportion

Example 5-4b What number is 42.5% of 90 ? Answer: 42.5% of 90 is Obj. #1: Use the percent proportion

Example 5-5c Market Research A survey of 500 teenagers found that 37% prefer a soft drink with dinner; 48% prefer water; and 15% prefer milk. How many of the teenagers prefer milk with dinner? Answer:75 teenagers prefer milk with dinner. Obj. #1: Use the percent proportion

Example 5-6c Ninety is 24% of what number? Answer: 90 is 24% of 375. Obj. #1: Use the percent proportion

End of Lesson 5