ABG
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. SS
OC. $10
OD $16
Let's assume the price for adults is A and the price for children is C.
From the information given, we can set up two equations:
50A + 50C = 800 (equation 1)
65A + 75C = 1100 (equation 2)
To solve this system of equations, we can use the method of substitution. Rearrange equation 1 to solve for A:
50A = 800 - 50C
A = (800 - 50C)/50
Substitute this expression for A in equation 2:
65((800 - 50C)/50) + 75C = 1100
Simplify the equation:
520 - 26C + 75C = 1100
-26C + 75C = 1100 - 520
49C = 580
C = 580/49
C ≈ 11.84
Now, substitute the value of C back into equation 1 to find A:
50A + 50(11.84) = 800
50A + 592 = 800
50A = 800 - 592
50A = 208
A = 208/50
A ≈ 4.16
Based on the calculations, the golf course charges approximately $4.16 for adults.
None of the given answer choices match the result obtained from the calculations.