A fitness center has two membership plans. One has a low dollar sign up fee of 15 dollars and costs 38 dollars per month to join. A second plan has a higher sign up fee of 78 dollars but a lower monthly fee of 31 dollars. For what number of months is the cost the same?

Question

Greyson Bowman

Mathematics

23 December, 04:01

A fitness center has two membership plans. One has a low dollar sign up fee of 15 dollars and costs 38 dollars per month to join. A second plan has a higher sign up fee of 78 dollars but a lower monthly fee of 31 dollars. For what number of months is the cost the same?

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Answers (1)

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Rodney Mason · Answer 1

To solve the number of months when the cost of each payment are the same, you should equate the two cost. First establish the equations

Let A be the cost of first payment method

B is the cost of the second payment method

X is the number of months

A = 38x + 15

B = 31x + 78

38x + 15 = 31x + 78

7x = 63

X = 9 months