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.
M + 5f = 25....multiply by -1 m + 10f = 40 ---------------- -m - 5f = -25 (result of multiplying by -1) m + 10f = 40 -----------------add 5f = 15 f = 3
m + 10f = 40 m + 10(3) = 40 m + 30 = 40 m = 40 - 30 m = 10
so the membership fee (m) = 10 and the sessions(f) = 3
