Main Idea and New Vocabulary Example 1: Use the Percent Proportion and Equation Example 2: Use the Percent Proportion and Equation Example 3: Use the Percent Proportion and Equation Example 4: Real-World Example Concept Summary: The Percent Proportion and Equation Example 5: Percents Greater than 100 Lesson Menu

Solve problems using the percent proportion and equation. percent equation Main Idea/Vocabulary

Use the Percent Proportion and Equation 34 is what percent of 136? Method 1 Use the percent proportion. percent Write the percent proportion. 34 ● 100 = 136 ● n Find the cross products. 3,400 = 136n Multiply. Divide each side by 136. Example 1

Use the Percent Proportion and Equation 25 = n Simplify. Method 2 Use the percent equation. part = percent ● whole 34 = n ● 136 Write the percent equation. Divide each side by 136. 0.25 = n Simplify. Answer: So, 34 is 25% of 136. Example 1

52 is what percent of 80? A. 65% B. 41.6% C. 31.25% D. 1.54% Example 1 CYP

Use the Percent Proportion and Equation What number is 70% of 600? Method 1 Use the percent proportion. percent Write the percent proportion. p ● 100 = 600 ● 70 Find the cross products. 100p = 42,000 Multiply. Divide each side by 100. Example 2

Use the Percent Proportion and Equation p = 420 Simplify. Method 2 Use the percent equation. part = percent ● whole p = 0.7 ● 600 Write the percent equation. p = 420 Multiply. Answer: So, 420 is 70% of 600. Example 2

What number is 40% of 350? A. 140 B. 87.5 C. 14 D. 8.75 Example 2 CYP

Use the Percent Proportion and Equation 18.2 is 28% of what number? Method 1 Use the percent proportion. percent Write the percent proportion. 18.2 ● 100 = 28 ● w Find the cross products. 1,820 = 28w Multiply. Divide each side by 28. Example 3

Use the Percent Proportion and Equation 65 = w Simplify. Method 2 Use the percent equation. part = percent ● whole 18.2 = 0.28 ● w Write the percent equation. Divide each side by 0.28 65 = w Answer: So, 18.2 is 28% of 65. Example 3

32.4 is 36% of what number? A. 40 B. 45 C. 90 D. 180 Example 3 CYP

Answer: On day 4, she will put at least $1.50 in her bank. MONEY On day one, Miranda finds a dollar and puts it in her piggy bank. She plans to increase the amount of money she puts in her bank by 15% each day until she puts in at least $1.50 per day. On what day will she put at least $1.50 in her bank? Day 1 $1.00 Day 2 1 + 1  0.15 = 1 + 0.15 or $1.15 Day 3 1.15 + 1.15  0.15  1.15 + 0.17 or $1.32 Day 4 1.32 + 1.32  0.15  1.32 + 0.20 or $1.52 Answer: On day 4, she will put at least $1.50 in her bank. Example 4

READING On day one, Jack reads 5 pages of a book READING On day one, Jack reads 5 pages of a book. He plans to increase the number of pages that he reads by 20% each day until he reads at least 12 pages per day. On what day will he read at least 12 pages per day? A. day 3 B. day 4 C. day 5 D. day 6 Example 4 CYP

Key Concept 5

Write the percent proportion. Percents Greater than 100 18 is what percent of 12? percent Write the percent proportion. 18 ● 100 = 12 ● n Find the cross products. 1,800 = 12n Multiply. Divide each side by 12. 150 = n Simplify. Example 5

Percents Greater than 100 Answer: 18 is 150% of 12. Example 5

75 is what percent of 60? A. 12.5% B. 80% C. 125% D. 150% Example 5 CYP