"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

139139 tickets were sold in advance.

Explanation:

Let x be the number of tickets that were sold in advance.
12x + 15(x-36) = 321312x+15(x36)=3213
12x + 15x - 540 = 321312x+15x540=3213
27x = 375327x=3753
x = 3753/27x=375327
x = 139x=139

Apr 2, 2018

There were color(blue)(139139 people who bought the tickets in advance and color(blue)(103103 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-36x36.

Number of people who bought the tickets in advancecolor(red)(=x=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! :)