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?

Question

Reyna Griffin

Mathematics

7 January, 20:53

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?

+2

Answers (1)

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Adrianna Valenzuela · 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.