To skate at Roller Heaven, each person must pay a membership fee (m) and a fee for each session (f). Art attended 5 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 the solution as an ordered pair.

Question

To skate at Roller Heaven, each person must pay a membership fee (m) and a fee for each session (f). Art attended 5 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 the solution as an ordered pair.

dumbcow · Answer

membership fee is paid initially then cost is per session
m+5f = 25
10f = 40
find f first
f = 10/40
f=4
substitute this into first equation to find m
m + 5(4) =25
m = 25 -20
m = 5

(5,4)