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?

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Answer 1 · 2015-10-06T13:00:00

I found:
advance #$30#
same day #$35#

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

#a+s=65#

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

into the first equation:

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