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Warm Up

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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.

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

Example 4

Example 5

Example 6

Example 7

Example 8

Example 9

Home Learning

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.

Sales Tax

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

Example 10

Example 11

Example 12

Example 13

Example 14

Example 15

Example 16

Home Learning

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