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)
Q. 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)
Calculate total cost: Calculate the total cost before the discount is applied.Total cost = Cost of shoes + Cost of coatsTotal cost = 9x (for shoes) + 7y (for coats)Total cost = 9x+7y
Calculate discount amount: Calculate the discount amount.Discount = 5% of the total costDiscount = 0.05×(9x+7y)
Calculate total amount paid: Calculate the total amount paid after the discount is applied.Total amount paid = Total cost - DiscountTotal amount paid = (9x+7y)−0.05×(9x+7y)
Factor out total cost: Factor out the total cost from the expression to simplify.Total amount paid = (9x+7y)×(1−0.05)Total amount paid = (9x+7y)×0.95