Question

Two gyms offer a two-month "boot camp" training program. One gym charges $4 per session plus a one-time $50 fee. The other charges $6 per session plus a one-time $30 fee. For what number of sessions is the cost of the program the same for each gym?

Answer 1

To answer this item, we let x be the number of sessions at which the two rates would be equal. 

For gym A, the total would become,
                              50 + 4x
while that of B is
                               30 + 6x

Equating these two expressions,
                          50 + 4x = 30 + 6x 
The value of x from the equation is 10.