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?%0D%0A%0D%0AA. %0D%0A$6%0D%0A%0D%0A%0D%0AB. %0D%0A$8%0D%0A%0D%0A%0D%0AC. %0D%0A$10%0D%0A%0D%0A%0D%0AD. %0D%0A$16
Let's assume the price charged for adults is x dollars and the price charged for children is y dollars.
According to the information given, on Saturday, 50 adults played, so the revenue from adults can be represented as 50x dollars. Similarly, the revenue from children on Saturday can be represented as 50y dollars. So, the total revenue on Saturday is 50x + 50y dollars.
On Sunday, 65 adults played, so the revenue from adults on Sunday can be represented as 65x dollars. Similarly, the revenue from children on Sunday can be represented as 75y dollars. So, the total revenue on Sunday is 65x + 75y dollars.
Given that the total revenue on Saturday was $800 and the total revenue on Sunday was $1,100, we can set up the following equations:
50x + 50y = 800
65x + 75y = 1100
We can solve these equations simultaneously to find the values of x and y.
Multiplying the first equation by 13 and the second equation by 10, we get:
650x + 650y = 10400
650x + 750y = 11000
Subtracting the first equation from the second equation, we get:
100y = 600
Dividing both sides by 100, we get:
y = 6
Substituting this value of y into the first equation, we can solve for x:
50x + 50(6) = 800
50x + 300 = 800
50x = 500
x = 10
Therefore, the golf course charges $10 for adults. So, the correct answer is C. $10