Gym A charges a registration fee of $75 plus $35.75 per month for members. Gym B charges a registration fee of $164 plus $17.95 for members. After how many months would the total cost at Gym A and Gym B be the same for members?
5 months
The total cost will never be the same.
10 months
To find out when the total cost at Gym A and Gym B would be the same for members, we must set up an equation and solve for the number of months.
Let x represent the number of months.
Gym A:
Total cost = $75 + $35.75x
Gym B:
Total cost = $164 + $17.95x
Setting the two equations equal to each other:
$75 + $35.75x = $164 + $17.95x
Solving for x:
$35.75x - $17.95x = $164 - $75
$17.8x = $89
x = 5
After 5 months, the total cost at Gym A and Gym B would be the same for members.