Question

Suzy's Sculpting gym charges a $10 application fee and $12 per month for membership. Tami's Toning does not charge an application fee, but charges $14 per month for membership. After how many months will the total cost of membership be the same for both gyms?

Answer 1

Total cost of membership will be the same for both gyms after 5 months.

Explanation:

Given: Suzy's Sculpting gym charges a $10 application fee and $12 per month for membership.

Tami's Toning does not charge an application fee, but charges $14 per month for membership.

To find: After how many months will the total cost of membership be the same for both gyms

Solution:

Let
`t` denotes number of months after which total cost of membership will be the same for both gyms

For Suzy's Sculpting gym,

Total charges
`= 10+12t`

For Tami's Toning,

Total charges
`=14t`

Now solve
`10+12t=14t`

`10+12t=14t\\10=14t-12t\\10=2t\\t=(10)/(2)\\ t=5`

So, total cost of membership will be the same for both gyms after 5 months.