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?
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