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Alexander used a discount coupon for 
25% off at his favorite clothing store. He bought 5 pairs of shoes for 
x dollars each and 1 coat for 
y dollars. Which expression represents the total amount Alexander paid after the coupon was applied?

0.25(5x+y)+(5x+y)

25(5x+y)

75(5x+y)

(5x+y)-0.25(5x+y)

Alexander used a discount coupon for 25% 25 \% off at his favorite clothing store. He bought 55 pairs of shoes for x x dollars each and 11 coat for y y dollars. Which expression represents the total amount Alexander paid after the coupon was applied?\newline0.25(5x+y)+(5x+y) 0.25(5 x+y)+(5 x+y) \newline25(5x+y) 25(5 x+y) \newline75(5x+y) 75(5 x+y) \newline(5x+y)0.25(5x+y) (5 x+y)-0.25(5 x+y)

Full solution

Q. Alexander used a discount coupon for 25% 25 \% off at his favorite clothing store. He bought 55 pairs of shoes for x x dollars each and 11 coat for y y dollars. Which expression represents the total amount Alexander paid after the coupon was applied?\newline0.25(5x+y)+(5x+y) 0.25(5 x+y)+(5 x+y) \newline25(5x+y) 25(5 x+y) \newline75(5x+y) 75(5 x+y) \newline(5x+y)0.25(5x+y) (5 x+y)-0.25(5 x+y)
  1. Understand the problem: Understand the problem.\newlineAlexander is buying 55 pairs of shoes, each at a price of xx dollars, and 11 coat for yy dollars. A discount coupon gives him 25%25\% off the total price. We need to calculate the total amount he paid after the discount.
  2. Calculate total price: Calculate the total price without the discount.\newlineThe total price without the discount for the shoes is 5x5x dollars (since he buys 55 pairs of shoes at xx dollars each) and yy dollars for the coat. So, the total price without the discount is 5x+y5x + y dollars.
  3. Calculate discount amount: Calculate the discount amount.\newlineThe discount is 25%25\% of the total price. To find the discount amount, we multiply the total price by 25%25\% or 0.250.25. The discount amount is 0.25×(5x+y)0.25 \times (5x + y) dollars.
  4. Subtract discount: Subtract the discount from the total price.\newlineTo find the final amount paid, we subtract the discount amount from the total price without the discount. The expression for the total amount paid is (5x+y)0.25×(5x+y)(5x + y) - 0.25 \times (5x + y) dollars.
  5. Simplify expression: Simplify the expression.\newlineWe can factor out (5x+y)(5x + y) from the expression to make it easier to understand. The simplified expression for the total amount paid is (10.25)×(5x+y)(1 - 0.25) \times (5x + y) dollars, which simplifies to 0.75×(5x+y)0.75 \times (5x + y) dollars.

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