Multiple Choice Question 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 A be the price for adults and C be the price for children.
From the given information, we can set up the following equations:
50A + 50C = 800
65A + 75C = 1100
Solving these equations simultaneously will give us the price for adults:
50A + 50C = 800
65A + 75C = 1100
Multiply the first equation by 65 and the second equation by -50:
3250A + 3250C = 52000
-3250A - 3750C = -55000
Add the two equations together:
500C = -3000
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.
C. $10.