The school production of 'our town' was a big success. for opening night, 503 tickets were sold. students paid $4.00 each, while non-students paid $6.00 each. if a total of $ 2296.00 was collected, how many students and how many non-students attended?
the number of students was
nothing. (simplify your answer.)
the number of non-students was
nothing. (simplify your answer.)

4x➕6(503-x)=2296

Distribute the 6 into the parentheses

Let x represent the students

503-x will represent the non-students

4x➕3018➖6x=2296

Then combine like terms

-2x➕3018=2296

Now since you move your constant your sign has to change as well,

-2x=2296➖3018

Then subtract

-2x=-722

Then divide both sides by -2

You are left with x=361

This represents the students

503➖361= 142 which equal the non-students

Therefore your answer is:

361=students

142=non-students

Hope this helps! :3