Question

A group of four golfers paid $210 to play a round of golf. Of the golfers, one is a member of the club and three are nonmembers. Another group of golfers consists of two members and one nonmember. They paid a total of $120. What is the cost for a member to play a round of golf, and what is the cost for a nonmember?

Answer 1

Simple system of equations problem,
m = member
n = nonmember

1m + 3n = 210
2m + 1n = 120
You can multiply the top equation by 2 to get:
2m + 6n = 420
2m + 1n = 120
Then you can subtract the two equations and the members will cancel out (2m - 2m = 0)
and get:
5n = 300 so dividing by 5 on both sides you get

n = 60
then you can plug in the value of 60 into one of the equations
2m + 1(60) = 120
So subtracting 60 u get
2m = 60
member = 30
nonmembers = 60