"It costs $12 for a ticket to a school play if you buy the ticket in advance. If you buy a ticket at the door, it will cost $15. The school made $3213 and 36 more tickets were sold in advance than at the door. How many tickets were sold in advance?"

I don't know how to write the equation to solve this word problem.

2 Answers
Apr 2, 2018

#139# tickets were sold in advance.

Explanation:

Let x be the number of tickets that were sold in advance.
#12x + 15(x-36) = 3213#
#12x + 15x - 540 = 3213#
#27x = 3753#
#x = 3753/27#
#x = 139#

Apr 2, 2018

There were #color(blue)(139# people who bought the tickets in advance and #color(blue)(103# who bought it at the door.

Explanation:

Let assume the number of people who bought the tickets at the door to be #color(red)(x-36#.

Number of people who bought the tickets in advance#color(red)(=x#.

#therefore# Total cost #color(darkorange)(=$12(x)+$15(x-36)#.

#$3213=$12(x)+$15(x-36)#

#$3213=12x+15x-540#

#$3213=27x-540#

#3213+540=27x#

#27x=3753#

#x=3753/27#

#color(magenta)(x=139#

Now, let us find the number of people who bought the ticket at the door#=x-36#.

#color(magenta)(139-36=103#

#therefore# There were #color(blue)(139# people who bought the tickets in advance and #color(blue)(103# who bought it at the door.

~Hope this helps! :)