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's represent the price for adults as A and the price for children as C.

From the information given, we can create two equations:

50A + 50C = $800 (Equation 1)
65A + 75C = $1,100 (Equation 2)

Solving Equation 1 for C, we get:
C = (800 - 50A) / 50 (Equation 3)

Substitute Equation 3 into Equation 2:
65A + 75((800 - 50A) / 50) = $1,100
65A + 15(800 - 50A) = $1,100
65A + 12,000 - 750A = $1,100
-685A = -10,900

Solving for A:
A = $16

Therefore, the golf course charges $16 for adults.

The answer is D. $16.