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Preview Warm Up California Standards Lesson Presentation

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Warm Up Solve. 1. 10% of what number is 6? 2. What percent of 20 is 8? 3. What is 80% of 60? 4. 50 is what percent of 200? 60 40% 48 25%

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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.

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**Objective: You will learn how to (YWLHT) solve problems involving percent.**

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Vocabulary Regular price – the amount something costs before a discount (Sale Price + Discount = Regular Price) Discount – the amount that is taken off, saved, or that you do not have to pay (Regular Price – Sale Price = Discount) Sale price – the amount something costs after a discount is taken off (Regular Price - Discount = Sale Price )

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**Example 1: Finding the sale price using proportions.**

The regular price of a bicycle helmet is $ It is on sale for 20% off. What is the sale price? Step 1: Find the amount of the sale price. Think: 80% of $42.99 is what number? 80 100 = n 42.99 Write a proportion. 80 • = 100 • n Set the cross products equal. = 100n 3439.2 100 = 100n 100 Divide each side by 100. = n Round to the nearest cent. The amount of the sales price is $34.39.

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**Example 1: Finding the sale price using decimals.**

The regular price of a bicycle helmet is $ It is on sale for 20% off. What is the sale price?

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**Example 2: Finding the discount using proportions**

The regular price of a bicycle helmet is $ It is on sale for 20% off. What is the discount? Step 1: Find the amount of the discount. Think: 20% of $42.99 is what number? 20 100 = n 42.99 Write a proportion. 20 • = 100 • n Set the cross products equal. 859.8 = 100n 859.8 100 = 100n 100 Divide each side by 100. 8.598 = n Round to the nearest cent. The amount of the discount is $8.60.

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**Example 2: Finding the discount using decimals**

The regular price of a bicycle helmet is $ It is on sale for 20% off. What is the discount?

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Check It Out! Example 3 The regular price of a computer game is $ It is on sale for 15% off. What is the sale price?

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Check It Out! Example 3 The regular price of a computer game is $ It is on sale for 15% off. What is the discount?

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Home Learning On-Line Tutoring 12 12

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Example 4

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Example 5

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Example 6

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Example 7

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Example 8

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Example 9

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Home Learning 19 19

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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.

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**Objective: You will learn how to (YWLHT) solve problems involving percent.**

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Sales Tax Sales Tax – the amount that is ADDED to what you pay (Price + Sales Tax = Total/Final Cost)

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Example 10

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Example 11

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Example 12

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Example 13

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Example 14

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Example 15

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Example 16

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Home Learning 30 30

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Lesson Quiz Find each percent of change. 1. 10 is increased to 12. 2. 25 is increased to 45. 3. 10 is decreased to 1. 4. The regular price of a coat is $120. It is on sale for 25% off. What is the discount and sale price? 5. A backpack that sells for $42 is on sale for % off. Find the sale price. 20% 80% Discount $30 Sale Price $90 90% $31.50

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