Question

Gym a charges $25 per month plus a $60 initiation fee. Gym b charges $30 per month and no initiation fee. Find the number of months it will take for the total cost for both gyms to be equal

Answer 1

12 months

Explanation:

Given data

Gym A

charges $25 per month plus a $60 initiation fee

let the number of months be x

and the total charges be y

y= 60+25x---------------1

Gym B

charges $30 per month and no initiation fee

let the number of months be x

and the total charges be y

y=30x---------------2

Equate 1 and 2 above to find x

60+25x= 30x

collect like terms

60= 30x-25x

60= 5x

divide both sides by 5

x= 60/5

x= 12

Hence it will take 12 months