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, 20 advance tickets and 35 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:the price if one advance ticket is $35

the price of one same day ticket is $40

Explanation:

Let x represent the price if one advance ticket.

Let y represent the price of one same day ticket.

The combined cost of one advance ticket and one same-day ticket is $75. It means that

x + y = 75

For one performance, 20 advance tickets and 35 same-day tickets were sold. The total amount paid for the tickets was $2100. It means that

20x + 35y = 2100 - - - - - - - - - 1

Substituting x = 75 - y into equation 1, it becomes

20(75 - y) + 35y = 2100

1500 - 20y + 35y = 2100

- 20y + 35y = 2100 - 1500

15y = 600

y = 600/15 = 40

x = 75 - y = 75 - 40

x = 35