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algol [13]
3 years ago
10

Suzy's Sculpting gym charges a $10 application fee and $12 per month for membership. Tami's Toning does not charge an applicatio

n fee, but charges $14 per month for membership. After how many months will the total cost of membership be the same for both gyms?
Mathematics
1 answer:
Andreas93 [3]3 years ago
6 0

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.

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