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 .

Step-by-step 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 .