To skate at Roller Heaven, each person must pay a membership fee (m) and a fee for each session (f). Art attended five sessions and paid $25 in all. Later, when he had attended 10 sessions, he paid $40 in all. How much is the membership fee and how much are the sessions.
Write a system of two equations with the variables m and f in each to represent this problem.

Question

To skate at Roller Heaven, each person must pay a membership fee (m) and a fee for each session (f). Art attended five sessions and paid $25 in all. Later, when he had attended 10 sessions, he paid $40 in all. How much is the membership fee and how much are the sessions.
Write a system of two equations with the variables m and f in each to represent this problem.

anonymous · Answer

m =membership fee
f = session fee 
Art attended 5 sessions (5f) and paid $25.
Later when he attended 10 sessions he paid $40

One problem with this question: Does Art have to pay membership again for the second lot of sessions? i.e. if he has paid his membership already for the first 5 sessions does he have to pay again for the next 10 sessions?