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)
Q. 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)
Understand the problem: Understand the problem.Alexander is buying 5 pairs of shoes, each at a price of x dollars, and 1 coat for y dollars. A discount coupon gives him 25% off the total price. We need to calculate the total amount he paid after the discount.
Calculate total price: Calculate the total price without the discount.The total price without the discount for the shoes is 5x dollars (since he buys 5 pairs of shoes at x dollars each) and y dollars for the coat. So, the total price without the discount is 5x+y dollars.
Calculate discount amount: Calculate the discount amount.The discount is 25% of the total price. To find the discount amount, we multiply the total price by 25% or 0.25. The discount amount is 0.25×(5x+y) dollars.
Subtract discount: Subtract the discount from the total price.To 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) dollars.
Simplify expression: Simplify the expression.We can factor out (5x+y) from the expression to make it easier to understand. The simplified expression for the total amount paid is (1−0.25)×(5x+y) dollars, which simplifies to 0.75×(5x+y) dollars.
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