Afitness 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?

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

answer: approximately 206 bones

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