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?

Question

A. $6
B. $8
C. $10
D. $16

Answer 1

Let A be the cost for adults and C be the cost for children.
From the problem, we have the following system of equations:
50A + 50C = 800, and
65A + 75C = 1100.
Simplifying the first equation, we get A + C = 16.
Multiplying this equation by 50 gives 50A + 50C = 800.
Subtracting this equation from the second equation, we get 15A + 25C = 300.
Multiplying this equation by 2 gives 30A + 50C = 600.
Subtracting this equation from the first equation, we get 20A = 200.
Dividing both sides of this equation by 20 gives A = 10.
Therefore, the cost for adults is $10.
The answer is C.