Question

suppose that there are two types of tickets to show; advance and same -day. Advance tickets cost $35 and same-day tickets cost $30. For one performance, there were 50 tickets sold in all, and the total amount paid for them was $1650. How many tickets of each type were sold?

Answer 1

#of advanced tickets (x) = 30

#of same-day tickets (y) = 20

Explanation:

x-#of advanced tickets

y-#of same-day tickets

`x+y=50,\\35x+30y=1650`

5x+30(x+y)=1650

5x+30(50)=1650

5x=150

x=30

y=20