A miniature golf course charges different prices for adults and children. On Saturday, 50 adults and 50 children played, and the golf course earned $800. On Sunday, 65 adults and 75 children played, and the golf course earned $1,100. How much does the golf course charge for adults? A. $6 B. $8 C. $10 D. $16

2 answers

Let's assume the cost for adults is a, and the cost for children is b.
From the problem, we have:
50a + 50b = 800 ----(1)
65a + 75b = 1100 ----(2)
To simplify, Let's multiply equation (1) by 65/50, and multiply equation (2) by 50/25:
(65/50)(50a + 50b) = (65/50)(800)
65a + 65b = 1040 ----(3)
65a + 75b = 1100 ----(4)
Subtract equation (3) from equation (4), we get:
65a + 75b - (65a + 65b) = 1100 - 1040
10b = 60
b = 6
Substitute the value of b into equation (1), we get:
50a + 50*6 = 800
50a = 800 - 300
50a = 500
a = 10
Therefore, the golf course charges $10 for adults. Answer: \boxed{(C)}
a b c or d