Deondra goes to a store and buys an item that costs x dollars. She has a coupon for 35% off, and then a 5% tax is added to the discounted price. Write an expression in terms of x that represents the total amount that Deondra paid at the register.Answer:
Q. Deondra goes to a store and buys an item that costs x dollars. She has a coupon for 35% off, and then a 5% tax is added to the discounted price. Write an expression in terms of x that represents the total amount that Deondra paid at the register.Answer:
Calculate discount amount: Calculate the discount amount.To find the discount amount, multiply the original price by the discount percentage.Discount amount = Original price ∗ Discount percentageSince the discount is 35%, we write this as 0.35 (since 35%=10035=0.35).Discount amount =x∗0.35
Calculate discounted price: Calculate the discounted price.Subtract the discount amount from the original price to get the discounted price.Discounted price = Original price - Discount amountDiscounted price = x−(x×0.35)
Calculate tax amount: Calculate the tax amount on the discounted price.To find the tax amount, multiply the discounted price by the tax percentage.Tax amount = Discounted price × Tax percentageSince the tax is 5%, we write this as 0.05 (since 5%=1005=0.05).Tax amount = (x−(x×0.35))×0.05
Calculate total amount paid: Calculate the total amount paid at the register.Add the tax amount to the discounted price to get the total amount paid.Total amount paid =Discounted price+Tax amountTotal amount paid =(x−(x×0.35))+((x−(x×0.35))×0.05)
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