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 $75. For one performance, 35 advance tickets and 20 same-day tickets were sold. The total amount paid for the tickets was $2100. What was the price of each kind of ticket?

Answer 1

Answer: cost of advance ticket = $40

cost of same-day ticket = $35

Explanation:

# advance tix sold = 35

# same day tix sold = 20

a = cost of an advance ticket

s = cost of a same day ticket = $75 - a

35a + 20(75 - a) = 2100

35a + 1500 - 20a = 2100

15a = 2100 - 1500 = 600

a = 600/15 = 40

s = 75 - 40 = 35