Answer: it will take about 5 months for the cost to be the same
Step-by-step explanation:
Let x represent the number of months it will take for the gym memberships to cost the same amount.
A gym membership at A costs $10/month plus a one-time membership fee of $15. This means that the total cost for x months would be
10x + 15
At B, the memberships costs $4/month plus a one-time $40 fee. This means that the total cost for x months would be
4x + 40
For the costs to be the same,
10x + 15 = 4x + 40
10x - 4x = 40 - 15
6x = 25
x = 25/6 = 4.2
