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Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and same day ticket is $60. For one performance, 15 advance tickets and 35 same day tickets were sold. The total amount paid for the tickets was $1300. What was the price of each kind of ticket?

Respuesta :

Answer:

Advance ticket costs $40, and same-day ticket costs $20.

Step-by-step explanation:

let a be the cost of advance ticket and s be the cost of a same day ticket

a + s = 60

15a + 35s = 1300

simplifying the second equation gives us

3a + 7s = 260

Let's use substitution

a = 60 - s

3(60 - s) + 7s = 260

180 - 3s + 7s = 260

4s = 260-180

4s = 80

s = 80/4

s = 20

now substitute s = 20 into equation a = 60 - s

a = 60 - 20

a = 40

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