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Sue bought a toaster discounted from $45 to $38.Alex bought a mixer discounted from $189 to $161.Select the true statement. Sue received the larger percentage discount. Alex received the larger percentage discount. The two discounts were the same percentage.

Question

Sue bought a toaster discounted from 45to45 to 38.Alex bought a mixer discounted from 189to189 to 161.Select the true statement. Sue received the larger percentage discount. Alex received the larger percentage discount. The two discounts were the same percentage.

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Solution

To determine who received the larger percentage discount, we need to calculate the percentage discount each person received.

  1. Calculate Sue's discount percentage: Original price of toaster = 45Discountedpriceoftoaster=45 Discounted price of toaster = 38 Sue's discount = Original price - Discounted price = 4545 - 38 = 7Suesdiscountpercentage=(Discount/Originalprice)100=(7 Sue's discount percentage = (Discount / Original price) * 100 = (7 / $45) * 100 = 15.56%

  2. Calculate Alex's discount percentage: Original price of mixer = 189Discountedpriceofmixer=189 Discounted price of mixer = 161 Alex's discount = Original price - Discounted price = 189189 - 161 = 28Alexsdiscountpercentage=(Discount/Originalprice)100=(28 Alex's discount percentage = (Discount / Original price) * 100 = (28 / $189) * 100 = 14.81%

Comparing the two percentages, Sue's discount percentage (15.56%) is larger than Alex's discount percentage (14.81%).

So, the true statement is: "Sue received the larger percentage discount."

This problem has been solved

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