EXTRA 1 22 2025

​The

​A lady was purchasing a clearance item that was 40% off. There was a sale on clearance for and additional 10% off. The item was originally $10. The sales associate said the new price was $5.40. The customer argued it should be $5.

​Who is correct?

​Question

​Why do we need to understand percentages?

​Converting between Percent, Fractions, and Decimals

0.025=

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​62%=

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​4/5=

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​What is 70% of 600?

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​28 is 35% of what number?

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​What percent of 300 is 50?

​Discounts

• ​If an item is X% off, to find the discount, multiply the price of the item * the percent as a decimal.

• ​To find how much you pay, subtract that from the price.

• ​Shortcut: Subtract the % discount from 100. Then multiply that percent as a decimal * the price.

​Sales Tax

• ​Find the sales tax % as a decimal.

• ​Multiply by the price/total.

• ​Add to the total.

• ​Shortcut: Find the decimal for the sales tax %. Add a 1. Then multiply to find your total.

• ​Example: Sales tax 7%--> Multiply by 1.07

Sale Price Equations (copy this slide)

• Example: What is the sale price?

  Item: a toy: $ p

  Discount rate: 30% off

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• 100% - 30% = 1 - 0.3 = 0.7 (Sale Price %)

• Part: a (the sale price)

  %: 0.7 (the sale price %)

  Whole: $ p (the original price)

Method 1:

a = 0.7 x p

Sale Price = 0.7p

Method 2:

a = (1 - 0.3) x p

Sale Price = (1 - 0.3)p

Method 3:

a = p - 0.3 x p

Sale Price = p - 0.3p

Markup (copy this slide)

• Mark-up is the amount added to the original price to make a profit.

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• Example: What is the markup?

  Item: A toy is bought from a factory for the cost of $5.99

  Markup %: 95%

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• Part: a (markup)

  % : 0.95 (markup %)

  Whole: $5.99 (Original Price)

• a = 0.95 x 5.99

  Markup = $5.69

Multiple Choice

Use the percent equation to find the discount.

Cost of a sled: $99.50

Discount: 20%

• $79.60

• $19.90

• $79.50

Multiple Choice

Cost of a comic book: $3.95

Markup: 20%

What is the selling price?

• p = o.2 x 3.95

• p = 1.2 x 3.95

Multiple Choice

Cost of a dinner: $50

Tip: 18%

How much is tip?

• p = 0.18 x 50

• p = 1.18 x 50

Multiple Choice

How much will it cost to buy a shirt that cost $22.50 with a sales tax of 6%?

• $23.08

• $23.85

• $24.85

• $24.06

Multiple Choice

Solve the sale price.

Regular price = $90

Discount = 20%

• $72

• $70

• $62

• $71.50

Multiple Choice

How much will it cost to buy a toy that cost $25, but has a discount of 10% off?

• $22.05

• $22.50

• $27.05

• $27.50

Multiple Choice

A jacket was originally priced at $120 but was marked as 25% off during a sale. What is the discount on the jacket?

• $35

• $30

• $0.30

• $35.30

Multiple Choice

How much tax would be paid on a jacket that cost $26 if the tax rate is 8%?

• $2.06

• $2.80

• $2.60

• $2.08

Math Response

What is 10% of 730?

Type answer here

Correct Answer: 73

Deg^°

Rad

Math Response

Convert 73% to a decimal

Type answer here

Correct Answer: 0.73

Deg^°

Rad

Multiple Choice

Where would -1 be on a number line?

• To the right of 0
• Beside 1
• One to the left of 0
• Two to the left of 0

Multiple Choice

1/2 is equal  to?

• 75%
• 50%
• 28%
• 100%

Multiple Choice

The ratio of boys to girls in the school choir is 4:7. If there are 16 boys, how many girls are in the choir?

• 19

• 28

• 27

• 32