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 $40. For one performance,

20 advance tickets and 30 same-day tickets were sold. The total amount paid for the tickets was $950. What was the price of each kind of ticket?

Answer 1

Let there be a advanced tickets and s same day tickets, Then:-

a + s = 40

20a + 30s = 950............................(1)

Multiply first equation by -30

-30a - 30x = -1200 .....................(2)

Adding equations (1) and (2):-

-10a = - 250

a = -250/-10 = 25

So s = 40 - 25 = 15

Answer:- advanced tickets cost $25 and same day cost $15.