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?

1 answer

Let x be the price for adults and y be the price for children.

From the given information, we can set up the following system of equations:

50x + 50y = $800
65x + 75y = $1,100

Now, we can solve for x by using the substitution method:

From the first equation, we can solve for y:
y = (800 - 50x) / 50

Now, we can substitute this expression for y into the second equation:

65x + 75((800 - 50x) / 50) = $1,100
65x + 15(16 - x) = $1,100
65x + 240 - 15x = $1,100
50x = $1,100 - $240
50x = $860
x = $17

Therefore, the golf course charges $17 for adults.