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Preview Warm Up California Standards Lesson Presentation

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Warm Up Solve. 1. 4x = 90 2. 8x = 96 3. 12x = 180 4. 26x = 182 22.5 12 15 7

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California Standards Number Sense (NS1.4) - Calculate given percentages of quantities and solve problems involving discounts at sales, interest earned, and tips. Also covered: NS1.3, AF1.1

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**Objective: You will learn how to solve problems involving percents.**

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**Sloths sleep an average of 16. 5 hours a day**

Sloths sleep an average of 16.5 hours a day. To find out what percent of a 24-hour day 16.5 hours is, you can use a proportion or an equation.

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**Sloths spend about 69% of the day sleeping!**

Sloths sleep an average of 16.5 hours a day. To find out what percent of a 24-hour day 16.5 hours is, you can use a proportion or an equation. Proportion Method Part n 16.5 Part = Whole 100 24 Whole n • 24 = 100 • 16.5 24n = 1,650 n = 68.75 Sloths spend about 69% of the day sleeping!

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**Example 1: Using Proportions to Solve Problems with Percents**

A. What percent of 40 is 25?

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**Example 2: Using Proportions to Solve Problems with Percents**

B. 15 is 25% of what number?

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Check It Out! Example 3 Solve. A. What percent of 50 is 10?

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Check It Out! Example 4 Solve. B. 8 is 40% of what number?

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Helpful Hint The sales tax rate is the percent used to calculate sales tax. Sales tax is an amount you pay in addition to the price of the item.

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**Example 5: Finding Sales Tax**

A portable DVD player costs $225 before tax at an appliance warehouse. What is the sales tax rate if the tax is $18? Restate the question: What percent of $225 is $18?

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Check It Out! Example 6 A new flat screen TV costs $800 before tax at an appliance warehouse. What is the sales tax rate if the tax is $56? Restate the question: What percent of $800 is $56?

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Check It Out! Example 7 Joshua buys a sweater that has a sale price of $48. Joshua gives the sales clerk $60 and receives $7.80 in change. What is the sales tax rate?

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Home Learning On-Line Tutoring 15

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**Sloths spend about 69% of the day sleeping!**

Sloths sleep an average of 16.5 hours a day. To find out what percent of a 24-hour day 16.5 hours is, you can use a proportion or an equation. Equation Method What percent of 24 is 16.5? n • 24 = 16.5 24 24 n = n = 68.75% Sloths spend about 69% of the day sleeping!

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**Example 6: Using Equations to Solve Problems with Percents**

A. 35 is 28% of what number? 35 = 28% • n Write an equation. Write 28% as a decimal. 35 = 0.28 • n 35 0.28 0.28 • n 0.28 = Divide each side by 0.28. 125 = n 35 is 28% of 125.

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**Example 7: Using Equations to Solve Problems with Percents**

B. What percent of 9 is 18? n • 9 = 18 Write an equation. n • 9 9 18 9 Divide each side by 9. = n = 2 Write the decimal as a percent. n = = 200. = 200% 18 is 200% of 9.

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**Check It Out! Example 8 Solve. A. 36 is 24% of what number?**

Write an equation. Write 24% as a decimal. 36 = 0.24 • n 36 0.24 = 0.24 • n Divide each side by 0.24. 150 = n 36 is 24% of 150.

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**Check It Out! Example 9 Solve. B. What percent of 6 is 36? n • 6 = 36**

Write an equation. n • 6 6 36 6 Divide each side by 6. = Write the decimal as a percent. n = 6 n = = 600. = 600% n = 600% 36 is 600% of 6.

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Home Learning On-Line Tutoring 21

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Lesson Quiz Solve. 1. 21 is 42% of what number? 2. What percent of 292 is 73? 3. 112% of what number is 84? 4. What percent of 1,340 is 13.4? 5. An ad features a bicycle on sale for $139. If the total cost of the bike is $147.34, what is the sales tax rate? 50 25% 75 1% 6%

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