# 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?

Oct 6, 2015

I found:
advance $30 same day $35

#### Explanation:

Call the price of an "advance" ticket $a$ and of the "same day" $s$, so you get:
$40 a + 35 s = 2425$ and

$a + s = 65$

from the second equation:
$a = 65 - s$

into the first equation:

$40 \left(65 - s\right) + 35 s = 2425$
$2600 - 40 s + 35 s = 2425$
$5 s = 175$
s=175/5=$35 and a=65-35=$30