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Ian used a discount coupon for 
5% off at his favorite clothing store. He bought 4 pairs of shoes for 
x dollars each and 2 shirts for 
y dollars each. Which expression represents the total amount Ian paid after the coupon was applied?

(4x+2y)-0.05(4x+2y)

0.05(4x+2y)+(4x+2y)

(4x+2y)-0.95(4x+2y)

95(4x+2y)

Ian used a discount coupon for 5% 5 \% off at his favorite clothing store. He bought 44 pairs of shoes for x x dollars each and 22 shirts for y y dollars each. Which expression represents the total amount Ian paid after the coupon was applied?\newline(4x+2y)0.05(4x+2y) (4 x+2 y)-0.05(4 x+2 y) \newline0.05(4x+2y)+(4x+2y) 0.05(4 x+2 y)+(4 x+2 y) \newline(4x+2y)0.95(4x+2y) (4 x+2 y)-0.95(4 x+2 y) \newline95(4x+2y) 95(4 x+2 y)

Full solution

Q. Ian used a discount coupon for 5% 5 \% off at his favorite clothing store. He bought 44 pairs of shoes for x x dollars each and 22 shirts for y y dollars each. Which expression represents the total amount Ian paid after the coupon was applied?\newline(4x+2y)0.05(4x+2y) (4 x+2 y)-0.05(4 x+2 y) \newline0.05(4x+2y)+(4x+2y) 0.05(4 x+2 y)+(4 x+2 y) \newline(4x+2y)0.95(4x+2y) (4 x+2 y)-0.95(4 x+2 y) \newline95(4x+2y) 95(4 x+2 y)
  1. Identify total cost: Identify the original total cost before the discount. The total cost before the discount is the sum of the cost of the shoes and the shirts. Ian bought 44 pairs of shoes at xx dollars each and 22 shirts at yy dollars each. So, the total cost before the discount is calculated by the expression (4x+2y)(4x + 2y).
  2. Calculate discount amount: Calculate the discount amount.\newlineThe discount is 5%5\% off the total cost. To find the discount amount, we multiply the total cost by 5%5\% (or 0.050.05). The expression for the discount amount is 0.05(4x+2y)0.05(4x + 2y).
  3. Subtract to find final amount: Subtract the discount amount from the original total cost to find the final amount paid.\newlineTo find the final amount Ian paid after the discount, we subtract the discount amount from the original total cost. The correct expression for the final amount paid is (4x+2y)0.05(4x+2y)(4x + 2y) - 0.05(4x + 2y).

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