Question

At a local gym you go to, you either pay $90 fee for a monthly pass, and an additional $4 for each time you decide to go to the gym, or you can pay $13 each time you go to the gym. Write and solve a system of equations for this situation to determine how many times you have to go to the gym in order for it to cost the same amount
A. 90
В. 130
C. 10
D. 5​

Answer 1

Answer: C. 10.

Step-by-step explanation:

Let x = Number of times you have to go to the gym in order for it to cost the same amount.

Given: Monthly pass fee = $90

Additional charge = $4

Total amount = (Monthly fee)  + (Number of times) (Additional charge)

Total amount = 90+4x                (i)

Payment for each time you go to the gym = $13

Total amount = 13x                    (ii)

From (i) and (ii) , we get

$13x=90+4x\\\\\Rightarrow\ 13x-4x=90\\\\\Rightarrow\ 9x=90\\\\\Rightarrow\ x=\dfrac{90}{9}\\\\ \Rightarrow\ x= 10$

Hence, the number of times you have to go to the gym in order for it to cost the same amount= 10

Hence, the correct option is C. 10.