Question

At Silver Gym, membership is $25 per month, and personal training sessions are $30 each. At Fit Factor, membership is $65 per month, and personal training sessions are $20 each. Part B: How many training sessions are needed in one month for both costs to be the same?

A)6
B)4
C)3
D)5

Answer 1

Sarah would have to by 4 sessions, and then the total cost of both gyms will be equal.

Explanation:

Step-by-step explanation:

According to the problem, At Silver Gym is $25 per month, and $30 per personal training session. At Fit Factor is $65 per month and $20 per personal training session.

So, basically, each expression would be

At Silver Gym: 25 + 30x

At Fit Facto: 65 + 20x

To know the number of personal training sessions Sarah would have to buy to make them equal, we have to equalize these expressions and solve for x

25 + 30x = 65 + 20x

30x - 20x = 65 - 25

10x = 40

x = 4

Therefore, Sarah would have to by 4 sessions, and then the total cost of both gyms will be equal.

Notice that the variable is with the personal training sessions, you have to do that because a membership won't variate since the problem specifies the period of 1 month, however in one month, the number of personal training sessions do variate.