Question

Gavin agrees to buy a 6 month package deal of monthly gym passes, and in turn receives a 15% discount. Write an algebraic expression to represent the total cost of the monthly passes with the discount, if X represents the cost of each monthly pass.

Answer 1

Answer: Total cost of the  monthly passes is 5.1x.

Step-by-step explanation:

Since we have given that

Cost of each monthly pass = x

Number of months = 6

Total cost = 6 ×x = 6x

Rate of discount = 15%

So, total cost of the monthly passes with the discount is given by

$6x\times \dfrac{100-15}{100}\\\\=6x\times \dfrac{85}{100}\\\\=6x\times 0.85\\\\=5.1x$

Hence, total cost of the  monthly passes is 5.1x.

Answer 2

15% off means 85% on so I would use .85x · 6 = total monthly cost  to represent this problem.  The dot represents times (I did not want to confuse things by using x)

Other ways to express this:

6 x .85x
6(.85x)
.85x (6)