Originally Posted by

**Jameson** The part in red is a little off. It's fixed in the line below though so maybe it was just a typo. The idea here is that when you multiply the number of tickets by the ticket price you get the total money earned by that ticket type. Add up all the ticket types and you get a grand total. In the problem you wrote there was no total, but you later wrote 84450, so I'm assuming that was given to you.

It should be:

$6 tickets = 6x

$10 tickets = 3x

$15 tickets = 3x+500

Now multiply these three expressions by their respective prices and equate that to the total. This is how you get to the last line you wrote. From there, add up all the terms containing an x, move all non-x terms to the right hand side and solve for x.