Casey wants to buy a gym membership. One gym has a $150 joining fee and cost $35 per month. Another Jim has no joining fee and cost $60 per month. when would Casey pay the same amount to be a member of either gym? How much would he pay?

After 6 months, Casey would pay $360 to join either gym.

Step-by-step explanation:

At the first gym, the cost is $35 per month in addition to a $150 joining fee. So, the equation based on 'x' number of months and a total cost of 'c' is:

c = 35x + 150

At the second gym, the cost is just $60 per month. So, the equation based on 'x' number of months and a total cost of 'c' is:

c = 60x

Since you want to find the number of months 'x' it would take until Casey would pay the same amount to be a member of either gym, you can take the two equations and set them equal to each other:

35x + 150 = 60x

Subtract 35x from both sides: 35x - 35x + 150 = 60x - 35x or 150 = 25x

Divide both sides by 25: 150/25 = 25x/25 or x = 6

So, after 6 months, the cost would be same. The find the cost, replace 'x' with 6 in one of the equations: c = 60 (6) = $360.