At Silver Gym, membership is $35 per month, and personal training sessions are $25 each. At Fit Factor, membership is $65 per month, and personal training sessions are $15 each. In one month, how many personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?

Question

Noe Perez

Mathematics

28 November, 23:33

At Silver Gym, membership is $35 per month, and personal training sessions are $25 each. At Fit Factor, membership is $65 per month, and personal training sessions are $15 each. In one month, how many personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?

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Answers (1)

Know the Answer?

Denisse Horn · Answer 1

Answer: The correct answer is 3.

Step-by-step explanation:

You need to write an equation to solve this problem, using x as the number of personal training sessions.

The equation to solve this problem is

35 + 25 x = 65 + 15x

First, subtract 35 from both sides:

25x = 30 + 15x

Subtract 15x from both sides:

10x = 30

The last step is to divide both sides by 10:

x = 3

You can then double check your work to make sure that the answer is correct:

35 + (25 x 3) = 110

65 + (15 x 3) = 110