A miniature golf
Course charges differentl prices for adults and children on Saturday 50 adults and 50 children played and the golf course earned 800.00 on Sunday 65 adults 75 children played and the golf course earned 1,100 how much does the golf course charge for adults?
Let's assume the cost for adults to play miniature golf is x dollars and the cost for children is y dollars.
According to the given information, on Saturday, 50 adults played, so the revenue from adults on Saturday is 50x dollars.
On Saturday, 50 children played, so the revenue from children on Saturday is 50y dollars.
The total revenue on Saturday is 800 dollars, so we have the equation 50x + 50y = 800.
On Sunday, 65 adults played, so the revenue from adults on Sunday is 65x dollars.
On Sunday, 75 children played, so the revenue from children on Sunday is 75y dollars.
The total revenue on Sunday is 1,100 dollars, so we have the equation 65x + 75y = 1,100.
To solve this system of equations, we can multiply the first equation by 13 and the second equation by 10 to eliminate the variable 'y':
13(50x + 50y) = 13(800)
10(65x + 75y) = 10(1,100)
Simplifying, we get:
650x + 650y = 10,400
650x + 750y = 11,000
Now we can subtract the first equation from the second equation to eliminate the variable 'x':
(650x + 750y) - (650x + 650y) = 11,000 - 10,400
100y = 600
y = 6
Substituting this value of y into the first equation, we can find x:
50x + 50(6) = 800
50x + 300 = 800
50x = 500
x = 10
Therefore, the golf course charges 10 dollars for adults to play miniature golf.