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Gabriel has a loyalty card good for a 
9% 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?

9c

0.09 c

0.91 c

0.991 c

Gabriel has a loyalty card good for a 9% 9 \% 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?\newline9c 9 c \newline0.09c 0.09 c \newline0.91c 0.91 c \newline0.991c 0.991 c

Full solution

Q. Gabriel has a loyalty card good for a 9% 9 \% 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?\newline9c 9 c \newline0.09c 0.09 c \newline0.91c 0.91 c \newline0.991c 0.991 c
  1. Calculate Discount Amount: To find the cost after a discount, we subtract the discount amount from the original cost. The discount amount is 9%9\% of the total cost cc, which is represented as 0.09×c0.09 \times c.
  2. Subtract Discount from Original Cost: Subtract the discount from the original cost to get the final cost after the discount. This is represented as c(0.09×c)c - (0.09 \times c).
  3. Simplify Expression: Simplify the expression by factoring out cc from both terms. This gives us c×(10.09)c \times (1 - 0.09), which simplifies to c×0.91c \times 0.91.
  4. Final Cost Calculation: The expression that represents the cost after the discount is 0.91×c0.91 \times c.

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