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? whats the real answer
A.
$6
B.
$8
C.
$10
D.
$16
The correct answer is C. $10.
Let's set up a system of equations to solve for the price of adults and children:
Let A represent the price for adults and C represent the price for children.
From the given information:
50A + 50C = $800 (Saturday)
65A + 75C = $1,100 (Sunday)
Now we can solve the system of equations. Multiplying the first equation by 13 and the second equation by -10, we get:
650A + 650C = $10,400
-650A - 750C = -$11,000
Adding the two new equations together:
-100C = -$600
C = $6
Substitute the value of C back into the first equation:
50A + 50(6) = 800
50A + 300 = 800
50A = 500
A = $10
Therefore, the golf course charges $10 for adults.