# The combined cost of one advance ticket to a show and one same-day ticket was $65. It is known that 40 tickets were sold in advance and 35 the same day, for total receipts of $2425 . What was the price of each kind of ticket?

##### 1 Answer

Advance ticket:

Same-day ticket:

#### Explanation:

Let's say that the price of the advance ticket is

You know that the combined cost of two tickets, one of each type, is

Now, you know that you sold a total of

Now you have a system of two equations with two unknowns.

Use the fist equation to write

Now use this expression in the second equation to solve for

Now use this value of

Therefore, the price of an advanced ticket is