Question

A group of 5 golfers paid $240 to play a round of golf. Of the golfers, one is a member of the club and four are nonmembers. Another group of golfers consists of two members and two nonmembers. They paid a total of $150. What is the cost for a member to play a round of golf, and what is the cost for a nonmember?

Answer 1

To find the cost for a member and a nonmember to play a round of golf, we can set up a system of equations based on the given information:

Let's assume the cost for a member to play a round of golf is M, and the cost for a nonmember is N.

From the first group of golfers:

1M + 4N = $240 (equation 1)

From the second group of golfers:

2M + 2N = $150 (equation 2)

To solve this system of equations, we can use either substitution or elimination method. Let's use the elimination method:

Multiply equation 1 by 2 to make the coefficients of M in both equations equal:

2(1M + 4N) = 2($240)

2M + 8N = $480 (equation 3)

Now we can subtract equation 2 from equation 3 to eliminate M:

(2M + 8N) - (2M + 2N) = $480 - $150

6N = $330

Divide both sides of the equation by 6:

N = $55

Now we can substitute the value of N into equation 1 to find M:

1M + 4($55) = $240

1M + $220 = $240

1M = $240 - $220

1M = $20

Therefore, the cost for a member to play a round of golf is $20, and the cost for a nonmember is $55.

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