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 gro

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?

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RobertKer 5 years 2021-07-24T03:45:17+00:00 1 Answers 24 views 0

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    2021-07-24T03:47:16+00:00

    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

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