A gym membership at A costs $10/month plus a one-time membership fee of $15, and at B, the memberships costs $4/month plus a one-time $40 fee. After about how many months will the gym memberships cost the same amount?

Question

Kristen Santiago

Mathematics

19 January, 03:21

A gym membership at A costs $10/month plus a one-time membership fee of $15, and at B, the memberships costs $4/month plus a one-time $40 fee. After about how many months will the gym memberships cost the same amount?

+5

Answers (1)

Know the Answer?

Makenna Russell · Answer 1

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