Arianna used a discount coupon for 15% off at her favorite clothing store. She bought 10 pairs of pants for x dollars each and 7 coats for y dollars each. Which expression represents the total amount Arianna paid after the coupon was applied? 0.85(10 x+7y) (10 x+7y)-0.85(10 x+7y) (10 x+7y)+0.15(10 x+7y) 15(10 x+7y)

Question

Arianna used a discount coupon for  15% off at her favorite clothing store. She bought 10 pairs of pants for  x dollars each and 7 coats for  y dollars each. Which expression represents the total amount Arianna paid after the coupon was applied?  0.85(10 x+7y)  (10 x+7y)-0.85(10 x+7y)  (10 x+7y)+0.15(10 x+7y)  15(10 x+7y)

Bytelearn · Accepted Answer

Identify total cost: Identify the original total cost before the discount is applied. The total cost without the discount is the sum of the cost of the pants and the coats. Total cost = (Cost of pants) + (Cost of coats) = (10 * x) + (7 * y).Calculate discount amount: Calculate the discount amount. A 15% discount means Arianna saves 15% on the original total cost. Discount = 15% of Total cost = 0.15 * ((10 * x) + (7 * y)).Determine final cost: Determine the total cost after the discount is applied. To find the final amount paid, subtract the discount from the original total cost. Amount paid after discount = Total cost - Discount.Express using discount factor: Express the total amount paid using the discount factor. Instead of subtracting the discount from the total cost, we can multiply the total cost by the complement of the discount percentage (100% - 15% = 85%). Amount paid after discount = 0.85 * ((10 * x) + (7 * y)).Choose correct expression: Choose the correct expression from the given options. The correct expression that represents the total amount paid after the discount is applied is 0.85(10x + 7y).

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