Question

At silver gym membership is $25 per month ,and personal training session are $30 each. At fit factor , membership is $65 per month, and personal training session are $20 each. In one month, how many personal training session would sarah have to buy to make the total cost at the gyms equal

Answer 1

If you are solving for x than the answer would be x=4.

Answer 2

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

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.