Question

1. Gym A charges a registration fee of $75 plus $35.75 per month for members. Gym

B charges a registration fee of $164 plus $17.95 for members. After how many
months would the total cost at Gym A and Gym B to be the same for members?

Answer 1

after 5 moths the total cost at Gym A and Gym B to be the same for members .

Explanation:

Here we have , Gym A charges a registration fee of $75 plus $35.75 per month for members. Gym B charges a registration fee of $164 plus $17.95 for members. We need to find After how many months would the total cost at Gym A and Gym B to be the same for members . Let's find out:

Gym A charges a registration fee of $75 plus $35.75 per month for members

According to above statement , we have following equation for cost:

⇒
`75+35.75x` , where x is number of months

Gym B charges a registration fee of $164 plus $17.95 for members

According to above statement , we have following equation for cost:

⇒
`164+17.95x` , where x is number of months

Let's equate both to find x:

⇒
`75+35.75x=164+17.95x`

⇒
`35.75x-17.95x=164-75`

⇒
`17.8\ x=89`

⇒
`x=5`

Therefore , after 5 moths the total cost at Gym A and Gym B to be the same for members .