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

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

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.

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.

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

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

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

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.

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

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

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

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

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  0.15 = or $1.15 Day  0.15  or $1.32 Day  0.15  or $1.52 Answer:On day 4, she will put at least $1.50 in her bank.

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?

Key Concept 5

Example 5 Percents Greater than 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.

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

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

A.5 B.10 C.20 D.25 Find 40% of 50 by using a percent proportion. Five Minute Check 1

What percent of 72 is 30? Five Minute Check 2 A.24% B.41 % C.41 % D.240%

13 is 3% of what number? Five Minute Check 3 A.39 B.43 C.130 D.433

240 is what percent of 200? Five Minute Check 4 A.12% B.24% C.83 % D.120%

A.5.4 B.6 C.54 D.60 30% of what number is 18? Five Minute Check 5

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%