Answer: The golf course charge $10 for adults
Step-by-step explanation:
Let x represent the amount that the golf course charge for adults.
Let y represent the amount that the golf course charge for children.
On Saturday, 50 adults and 50 children played and Andy Golf Course earned $800.
This means that
50x + 50y = 800 - - - - - - - - - - - -1
On Sunday, 65 adults in 75 children play and the golf course earned $1,100. This means that
65x + 75y = 1100 - - - - - - - - - - 2
Multiplying equation 1 by 65 and equation 2 by 50, it becomes
3250x + 3250y = 52000
3250x + 3750y = 55000
Subtracting, it becomes
- 500y = - 3000
y = - 3000/ - 500
y = 6
Substituting y = 6 into equation 1, it becomes
50x + 50 × 6 = 800
50x + 300 = 800
50x = 800 - 300 = 500
x = 500/50
x = 10
