Question

Pam’s Gym has an initial payment requirement of $25 and charges $10 per month. Tom’s Gym has an initial payment of $50 and charges $5 per month. After how many months will both gyms cost the same.

Answer 1

$75.

Explanation:

To find out after how many months both gyms will cost the same, we need to set up an equation based on the given information.

Let's assume the number of months is represented by "m".

For Pam's Gym:

- Initial payment: $25

- Monthly charge: $10

The cost of Pam's Gym after "m" months can be represented as: 25 + 10m

For Tom's Gym:

- Initial payment: $50

- Monthly charge: $5

The cost of Tom's Gym after "m" months can be represented as: 50 + 5m

To find when both gyms will cost the same, we set up an equation and solve for "m":

25 + 10m = 50 + 5m

Subtracting 5m from both sides, we get:

25 + 5m = 50

Subtracting 25 from both sides, we get:

5m = 25

Dividing both sides by 5, we get:

m = 5

Therefore, after 5 months, both gyms will cost the same.

After 5 months, Pam's Gym will have a total cost of 25 + 10(5) = $75.

After 5 months, Tom's Gym will have a total cost of 50 + 5(5) = $75.

Keep in mind that the equation is set up by equating the total cost of both gyms after "m" months. By solving the equation, we find that after 5 months, both gyms will have the same total cost of $75.