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Jason used a discount coupon for 
5% off at his favorite clothing store. He bought 9 pairs of shoes for 
x dollars each and 7 coats for 
y dollars each. Which expression represents the total amount Jason paid after the coupon was applied?

5(9x+7y)

0.05(9x+7y)+(9x+7y)

0.95(9x+7y)

(9x+7y)-0.95(9x+7y)

Jason used a discount coupon for 5% 5 \% off at his favorite clothing store. He bought 99 pairs of shoes for x x dollars each and 77 coats for y y dollars each. Which expression represents the total amount Jason paid after the coupon was applied?\newline5(9x+7y) 5(9 x+7 y) \newline0.05(9x+7y)+(9x+7y) 0.05(9 x+7 y)+(9 x+7 y) \newline0.95(9x+7y) 0.95(9 x+7 y) \newline(9x+7y)0.95(9x+7y) (9 x+7 y)-0.95(9 x+7 y)

Full solution

Q. Jason used a discount coupon for 5% 5 \% off at his favorite clothing store. He bought 99 pairs of shoes for x x dollars each and 77 coats for y y dollars each. Which expression represents the total amount Jason paid after the coupon was applied?\newline5(9x+7y) 5(9 x+7 y) \newline0.05(9x+7y)+(9x+7y) 0.05(9 x+7 y)+(9 x+7 y) \newline0.95(9x+7y) 0.95(9 x+7 y) \newline(9x+7y)0.95(9x+7y) (9 x+7 y)-0.95(9 x+7 y)
  1. Calculate total cost: Calculate the total cost before the discount is applied.\newlineTotal cost = Cost of shoes + Cost of coats\newlineTotal cost = 9x9x (for shoes) + 7y7y (for coats)\newlineTotal cost = 9x+7y9x + 7y
  2. Calculate discount amount: Calculate the discount amount.\newlineDiscount = 5%5\% of the total cost\newlineDiscount = 0.05×(9x+7y)0.05 \times (9x + 7y)
  3. Calculate total amount paid: Calculate the total amount paid after the discount is applied.\newlineTotal amount paid = Total cost - Discount\newlineTotal amount paid = (9x+7y)0.05×(9x+7y)(9x + 7y) - 0.05 \times (9x + 7y)
  4. Factor out total cost: Factor out the total cost from the expression to simplify.\newlineTotal amount paid = (9x+7y)×(10.05)(9x + 7y) \times (1 - 0.05)\newlineTotal amount paid = (9x+7y)×0.95(9x + 7y) \times 0.95

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