Question

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.)

Answer 1

361 students and 503-361=142 non students

Explanation:

Let x = number of students. And 503-x = the number of non students. Therefore, 4x+6(503-x)=2296

Answer 2

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