Question

Health club A charges $60 yearly enrollment fee and $2 per visit. Health club B charges $20 yearly enrollment fee and &4 per visit. What is the number of visit at which both clubs cost the same?

Answer 1

20 visits

Explanation:

The club that charges $40 more for enrollment charges $2 less per visit. The savings on visits is equal to the extra enrollment charge when the number of visits is 40/2 = 20.

For 20 visits, the cost at both clubs is the same.

__

If you let v represent the number of visits, ...

A = 60 +2v . . . . cost at club A

B = 20 +4v . . . . cost at club B

A = B ⇒ 60 +2v = 20 +4v . . . . . . costs are the same for "v" visits

40 = 2v . . . . . . . subtract 20+2v from both sides

40/2 = v = 20 . . . . . . same as "word solution" above