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PROBLEM

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A \(\) 79televisionisonsalefor television is on sale for $ 65$. What percent discount was given?

STEP 1

1. The original price of the television is $79.
2. The sale price of the television is $65.
3. We need to find the percent discount given.

STEP 2

1. Calculate the discount amount.
2. Determine the percent discount.

STEP 3

Calculate the discount amount by subtracting the sale price from the original price.
Discount Amount=Original PriceSale Price \text{Discount Amount} = \text{Original Price} - \text{Sale Price} Discount Amount=7965 \text{Discount Amount} = 79 - 65

STEP 4

Perform the subtraction to find the discount amount.
Discount Amount=14 \text{Discount Amount} = 14

STEP 5

Calculate the percent discount by dividing the discount amount by the original price and then multiplying by 100 to convert it to a percentage.
Percent Discount=(Discount AmountOriginal Price)×100 \text{Percent Discount} = \left(\frac{\text{Discount Amount}}{\text{Original Price}}\right) \times 100 Percent Discount=(1479)×100 \text{Percent Discount} = \left(\frac{14}{79}\right) \times 100

SOLUTION

Perform the division and multiplication to find the percent discount.
Percent Discount17.72% \text{Percent Discount} \approx 17.72\% The percent discount given is approximately:
17.72%\boxed{17.72\%}

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