You want to take group fitness classes at a nearby gym, but needs to start by selecting a membership plan. With the first membership plan, you can pay $20 per month, plus a $60 signing fee. With the second membership plan, you can pay $40 per month plus no signing fee. At what number of months will both plans cost the same amount?

after 3 months, both plans cost the same amount

Step-by-step explanation:

Let x is the number of months Let y is the total cost

Given the following information:

Plan 1: pay $20 per month, plus a $60 signing fee

=> the equation for this plan is:

y1 = 20x+60

Plan 2: pay $40 per month plus no signing fee

=> the equation for this plan is:

y2 = 40x

To find number of months will both plans cost the same amount, we need to set the equation of plan 1 = equation of plan 2

y1 = y2

20x+60 = 40x

20x = 60

x = 3

So after 3 months, both plans cost the same amount