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Preview Warm Up California Standards Lesson Presentation

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%

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

Objective: You will learn how to (YWLHT) solve problems involving percent. 4 4

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 )

Example 1: Finding the sale price using proportions. The regular price of a bicycle helmet is $42.99. 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 • 42.99 = 100 • n Set the cross products equal. 3439.2 = 100n 3439.2 100 = 100n 100 Divide each side by 100. 34.392 = n Round to the nearest cent. The amount of the sales price is $34.39.

Example 1: Finding the sale price using decimals. The regular price of a bicycle helmet is $42.99. It is on sale for 20% off. What is the sale price?

Example 2: Finding the discount using proportions The regular price of a bicycle helmet is $42.99. 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 • 42.99 = 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.

Example 2: Finding the discount using decimals The regular price of a bicycle helmet is $42.99. It is on sale for 20% off. What is the discount?

Check It Out! Example 3 The regular price of a computer game is $49.88. It is on sale for 15% off. What is the sale price?

Check It Out! Example 3 The regular price of a computer game is $49.88. It is on sale for 15% off. What is the discount?

Home Learning On-Line Tutoring 12 12

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Home Learning 19 19

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

Objective: You will learn how to (YWLHT) solve problems involving percent. 21 21

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

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Home Learning 30 30

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 25% off. Find the sale price. 20% 80% Discount $30 Sale Price $90 90% $31.50