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
Let's assume the cost for adults is x dollars per game and the cost for children is y dollars per game.
From the information given, we can set up two equations:
50x + 50y = 800 (equation 1)
65x + 75y = 1100 (equation 2)
To simplify equation 1, we can divide it by 50:
x + y = 16 (equation 3)
Now we can solve equations 3 and 2 to find the value of x (the cost for adults):
65x + 75y = 1100 (equation 2)
65(x + y) = 1100 (replacing x + y with 16 from equation 3)
65(16) = 1100
1040 = 1100
x = 16
Therefore, the golf course charges adults $16 per game.
The answer is D. $16.