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Owen has a loyalty card good for a 
8% discount at his local hardware store. If the total cost, before tax and discount, of all the items he wants to buy is 
c, which expression represents the cost after the discount?

8c

0.92 c

0.08 c

0.992 c

Owen has a loyalty card good for a 8% 8 \% discount at his local hardware store. If the total cost, before tax and discount, of all the items he wants to buy is c c , which expression represents the cost after the discount?\newline8c 8 c \newline0.92c 0.92 c \newline0.08c 0.08 c \newline0.992c 0.992 c

Full solution

Q. Owen has a loyalty card good for a 8% 8 \% discount at his local hardware store. If the total cost, before tax and discount, of all the items he wants to buy is c c , which expression represents the cost after the discount?\newline8c 8 c \newline0.92c 0.92 c \newline0.08c 0.08 c \newline0.992c 0.992 c
  1. Find Discount Amount: We know:\newlineOriginal total cost before discount: cc\newlineDiscount percentage: 8%8\%\newlineFind the amount of the discount.\newlinec×0.08=0.08cc \times 0.08 = 0.08c\newlineDiscount = 0.08c0.08c
  2. Calculate Cost After Discount: We know:\newlineOriginal total cost before discount: cc\newlineDiscount = 0.08c0.08c\newlineWhat is the cost after the discount?\newlinec0.08c=c(10.08)=c(0.92)c - 0.08c = c(1 - 0.08) = c(0.92)\newlineCost after discount = 0.92c0.92c

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