Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is $ 50 . For one

Question

Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is $ 50 . For one performance, 30 advance tickets and 25 same-day tickets were sold. The total amount paid for the tickets was $ 1400 . What was the price of each kind of ticket? what was teh price of the advanced tickets and what was the prive of the same day ticket?

Answer 1

Let A = Advance tickets

Let B = Same Day tickets

A  + B = 50

30A + 25B = 1400

30(50-B) + 25B = 1400

1500 - 30B + 25B = 1400

100 = 5B

B = 20

A + 20 = 50

so A = 30