Question

Write a system of two equations with the variables m and f in each to represent the following problem: To skate at Roller Heaven, each person must pay a monthly membership fee (m) and a fee for each session (f). In January, Art attended 5 sessions and paid $25 in all. In July, he attended 10 sessions, and he paid $40 in all.

Answer 1

Quick answer: 25 = 5f + m, 40 = 10f + m

My explanation:

The objective is to write a system of two equations with m and f in each to represent the given problem.

Art attended sessions at Roller Heaven twice: once in January and once in July. Those are your two equations. "m" is the monthly membership fee, so he will always pay m, regardless of anything else. "f" is the fee for each session, so the more sessions he attends, the more times he has to pay "f."

So for January, he pays the monthly membership fee, and then he goes to 5 sessions, paying the session fee each time. The total cost of that was $25. So,
$25 = 5f + m

For July, he pays the monthly membership fee, and then he goes to 10 sessions, paying the session fee each time. The total cost was $40. So,
40 = 10f + m

this is much better then before lol