Math / Numbers & Operations

QuestionQuestion 2
Rita wants to buy a sweater that was originally priced at $\$ 25.00$ . Today the sweater is on sale for $40 \%$ off the original price.
Part A
What is the sale price of the sweater? \$
Part B
Rita has a coupon for an additional 10\% off the sale price. How much will Rita pay for the sweater before taxes?

Studdy Solution

STEP 1

1. The original price of the sweater is $\$25.00$ .
2. The sale discount is $40\%$ off the original price.
3. Rita has an additional coupon for $10\%$ off the sale price.
4. We are to calculate the sale price after applying the $40\%$ discount.
5. We are to calculate the final price after applying the additional $10\%$ discount on the sale price.

STEP 2

1. Calculate the sale price of the sweater after the $40\%$ discount.
2. Calculate the final price of the sweater after applying the additional $10\%$ discount on the sale price.

STEP 3

Calculate the amount of the $40\%$ discount on the original price.
$\text{Discount Amount} = 0.40 \times 25.00 = 10.00$

STEP 4

Subtract the discount amount from the original price to find the sale price of the sweater.
$\text{Sale Price} = 25.00 - 10.00 = 15.00$

STEP 5

Calculate the amount of the additional $10\%$ discount on the sale price.
$\text{Additional Discount Amount} = 0.10 \times 15.00 = 1.50$

STEP 6

Subtract the additional discount amount from the sale price to find the final price of the sweater.
$\text{Final Price} = 15.00 - 1.50 = 13.50$
Solution: Part A: The sale price of the sweater is $\$15.00$ . Part B: Rita will pay $\$13.50$ for the sweater before taxes.

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Studdy Solution

STEP 1

STEP 2

1. Calculate the sale price of the sweater after the $40\%$ discount.
2. Calculate the final price of the sweater after applying the additional $10\%$ discount on the sale price.

STEP 3

Calculate the amount of the $40\%$ discount on the original price.
$\text{Discount Amount} = 0.40 \times 25.00 = 10.00$

STEP 4

Subtract the discount amount from the original price to find the sale price of the sweater.
$\text{Sale Price} = 25.00 - 10.00 = 15.00$

STEP 5

Calculate the amount of the additional $10\%$ discount on the sale price.
$\text{Additional Discount Amount} = 0.10 \times 15.00 = 1.50$

STEP 6

Subtract the additional discount amount from the sale price to find the final price of the sweater.
$\text{Final Price} = 15.00 - 1.50 = 13.50$
Solution: Part A: The sale price of the sweater is $\$15.00$ . Part B: Rita will pay $\$13.50$ for the sweater before taxes.

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Studdy Solution

STEP 1

STEP 2

1. Calculate the sale price of the sweater after the 40%40\%40% discount.2. Calculate the final price of the sweater after applying the additional 10%10\%10% discount on the sale price.

STEP 3

Calculate the amount of the 40%40\%40% discount on the original price.Discount Amount=0.40×25.00=10.00 \text{Discount Amount} = 0.40 \times 25.00 = 10.00 Discount Amount=0.40×25.00=10.00

STEP 4

Subtract the discount amount from the original price to find the sale price of the sweater.Sale Price=25.00−10.00=15.00 \text{Sale Price} = 25.00 - 10.00 = 15.00 Sale Price=25.00−10.00=15.00

STEP 5

Calculate the amount of the additional 10%10\%10% discount on the sale price.Additional Discount Amount=0.10×15.00=1.50 \text{Additional Discount Amount} = 0.10 \times 15.00 = 1.50 Additional Discount Amount=0.10×15.00=1.50

STEP 6

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1. Calculate the sale price of the sweater after the $40\%$ discount.
2. Calculate the final price of the sweater after applying the additional $10\%$ discount on the sale price.

Calculate the amount of the $40\%$ discount on the original price.
$\text{Discount Amount} = 0.40 \times 25.00 = 10.00$

Subtract the discount amount from the original price to find the sale price of the sweater.
$\text{Sale Price} = 25.00 - 10.00 = 15.00$

Calculate the amount of the additional $10\%$ discount on the sale price.
$\text{Additional Discount Amount} = 0.10 \times 15.00 = 1.50$