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Lesson Menu Main Idea and New Vocabulary NGSSS 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 Five-Minute Check
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Main Idea/Vocabulary Solve problems using the percent proportion and equation. percent proportion percent equation
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NGSSS MA.8.A.6.4 Perform operations on real numbers (including integer exponents, radicals, percents, scientific notation, absolute value, rational numbers, and irrational numbers) using multi-step and real world problems.
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Divide each side by 136. Example 1 Use the Percent Proportion and Equation 34 is what percent of 136? Method 1Use the percent proportion. percent Write the percent proportion. 34 ● 100= 136 ● nFind the cross products. 3,400= 136nMultiply.
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Example 1 Method 2Use the percent equation. part= percent ● whole 25= nSimplify. Use the Percent Proportion and Equation Answer:So, 34 is 25% of 136. 34= n ● 136Write the percent equation. 0.25= n Simplify. Divide each side by 136.
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Example 1 CYP A.65% B.41.6% C.31.25% D.1.54% 52 is what percent of 80?
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Example 2 What number is 70% of 600? Use the Percent Proportion and Equation Divide each side by 100. Method 1Use the percent proportion. Write the percent proportion. p ● 100= 600 ● 70Find the cross products. 100p= 42,000Multiply. percent
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Example 2 Use the Percent Proportion and Equation p = 420Simplify. Method 2Use the percent equation. part= percent ● whole p= 0.7 ● 600Write the percent equation. p= 420 Multiply. Answer:So, 420 is 70% of 600.
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Example 2 CYP A.140 B.87.5 C.14 D.8.75 What number is 40% of 350?
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Example 3 Use the Percent Proportion and Equation 18.2 is 28% of what number? Method 1Use the percent proportion. Write the percent proportion. 18.2 ● 100= 28 ● wFind the cross products. 1,820= 28wMultiply. percent Divide each side by 28.
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Divide each side by 0.28 Example 3 Use the Percent Proportion and Equation Answer:So, 18.2 is 28% of 65. 65 = wSimplify. Method 2Use the percent equation. part= percent ● whole 18.2= 0.28 ● wWrite the percent equation. 65 = w
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Example 3 CYP A.40 B.45 C.90 D.180 32.4 is 36% of what number?
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Example 4 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 21 + 1 0.15 = 1 + 0.15 or $1.15 Day 31.15 + 1.15 0.15 1.15 + 0.17 or $1.32 Day 41.32 + 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.
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Example 4 CYP A.day 3 B.day 4 C.day 5 D.day 6 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?
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Key Concept 5
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Example 5 Percents Greater than 100 18 is what percent of 12? Divide each side by 12. Write the percent proportion. 18 ● 100= 12 ● nFind the cross products. 1,800= 12nMultiply. percent 150= nSimplify.
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Example 5 Percents Greater than 100 Answer:18 is 150% of 12.
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Example 5 CYP A.12.5% B.80% C.125% D.150% 75 is what percent of 60?
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A.5 B.10 C.20 D.25 Find 40% of 50 by using a percent proportion. Five Minute Check 1
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What percent of 72 is 30? Five Minute Check 2 A.24% B.41 % C.41 % D.240%
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13 is 3% of what number? Five Minute Check 3 A.39 B.43 C.130 D.433
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240 is what percent of 200? Five Minute Check 4 A.12% B.24% C.83 % D.120%
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A.5.4 B.6 C.54 D.60 30% of what number is 18? Five Minute Check 5
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Fifteen out of 20 students in a class are boys. What percent of the students are girls? Five Minute Check 6 A.5% B.25% C.33 % D.75%
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