Answer:35 advance tickets were sold
30 same day tickets were sold.
Step-by-step explanation:
Let x represent the number of advance tickets sold.
Let y represent the number of same day tickets sold.
For one performance, there were 65 tickets sold in
This means that
x + y = 65
Advance tickets cost $ 35 and same-day tickets cost $ 15 and in all, and the total amount paid for them was $ 1675. It means that
35x + 15y = 1675 - - - - - - - - - - -1
Substituting x = 65 - y into equation 1. It becomes
35(65 - y) + 15y = 1675
2275 - 35y + 15y = 1675
- 35y + 15y = 1675 - 2275
- 20y = - 600
y = 600/20 = 30
x = 65 - y = 65 - 30
x = 35
