answer:
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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