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

Answer:

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

Step-by-step 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 $10+12t=14t$

$10+12t=14t\\10=14t-12t\\10=2t\\t=\frac{10}{2}\\ t=5$

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