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Amadou has a loyalty card good for a 
17% discount at his local pharmacy. 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?

0.83 c

0.17 c

0.983 c

17 c

Amadou has a loyalty card good for a 17% 17 \% discount at his local pharmacy. 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?\newline0.83c 0.83 c \newline0.17c 0.17 c \newline0.983c 0.983 c \newline17c 17 c

Full solution

Q. Amadou has a loyalty card good for a 17% 17 \% discount at his local pharmacy. 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?\newline0.83c 0.83 c \newline0.17c 0.17 c \newline0.983c 0.983 c \newline17c 17 c
  1. Calculate Discount: A 17%17\% discount means that Amadou will pay 17%17\% less than the original price. To find the discounted price, we subtract the discount from the original price.
  2. Subtract Discount: To calculate the discount, we multiply the original price cc by the discount rate, which is 17%17\% or 0.170.17 in decimal form.\newlineDiscount = c×0.17c \times 0.17
  3. Factor Out Original Price: Now, we subtract the discount from the original price to find the final price after the discount.\newlineFinal price after discount = c(c×0.17)c - (c \times 0.17)
  4. Calculate Final Price: We can simplify the expression by factoring out cc. Final price after discount = c×(10.17)c \times (1 - 0.17)
  5. Simplify Expression: Now, we calculate the value inside the parentheses. \newline10.17=0.831 - 0.17 = 0.83
  6. Calculate Value: So, the final expression representing the cost after the discount is: \newlineFinal price after discount = c×0.83c \times 0.83

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