Two gyms offer a two-month "boot camp" training program. One gym charges $4 per session plus a one-time $50 fee. The other charges $6 per session plus a one-time $30 fee. For what number of sessions is the cost of the program the same for each gym?

Question

Mathematics

Keira Pugh

24 December, 00:14

Two gyms offer a two-month "boot camp" training program. One gym charges $4 per session plus a one-time $50 fee. The other charges $6 per session plus a one-time $30 fee. For what number of sessions is the cost of the program the same for each gym?

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Answers (1)

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Briana · Answer 1

To answer this item, we let x be the number of sessions at which the two rates would be equal.

For gym A, the total would become,

50 + 4x

while that of B is

30 + 6x

Equating these two expressions,

50 + 4x = 30 + 6x

The value of x from the equation is 10.