Question

You are looking at buying a gym membership. Total Gym has a starting fee of $100 and costs $20 every month. Fitness Plus Elite costs $25 each month with an initial membership cost of $35. At what month will both memberships cost the same? Write and solve an equation to answer the problem. Explain what the answer means for the problem.

Answer 1

The answer is 13 because that is the month that both memberships will cost the same amount of money.

Explanation:

First translate the question into equations.

Total Gym:

100+20m

Where "m" equals the amount of months

Fitness Plus Elite

35+25m

Where "m" equals the amount of months

Set the equations equal to each other and solve for m, or the amount of months it takes to get the same price for each membership.

100+20m=35+25m Subtract 35 from both sides.

65+20m=25m Subtract 20m from both sides

65=5m Divide both sides by 5

13=m Both memberships will cost the same amount of money at 13 months. You can substitute this value into the original equations to check your work.

100+20(13)=$360

35+25(13)=$360

The answer is 13 because that is the month that both memberships will cost the same amount of money.