a miniature golf course charges different prices for adults and children on Saturday, 50 adults and 50 children played, and the gold course eanred $800 on Sunday, 65 adults an 75 children played, and the golf course earned $1,100. how much does the golf course charge for adults
Let's denote the price for adults as A and the price for children as C.
From the given information, we can set up the following system of equations:
50A + 50C = 800
65A + 75C = 1100
To solve this system, we can first multiply the first equation by 65 and the second equation by 50 to eliminate A:
3250A + 3250C = 52000
3250A + 3750C = 55000
Subtracting the first equation from the second, we get:
500C = 3000
C = 6
Now we can substitute the value of C back into the first equation to solve for A:
50A + 50(6) = 800
50A + 300 = 800
50A = 500
A = 10
Therefore, the golf course charges $10 for adults.