SOLUTION: The school production of​ 'Our Town' was a big success. For opening​ night, 420 tickets were sold. Students paid $2.50 ​each, while​ non-students paid ​$4.50 each. If a

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Question 1151618: The school production of​ 'Our Town' was a big success. For opening​ night,
420 tickets were sold. Students paid $2.50 ​each, while​ non-students paid ​$4.50 each. If a total of $1260.00 was​ collected, how many students and how many​ non-students attended?
Answer by ikleyn(52794)   (Show Source): You can put this solution on YOUR website!
.

Let x be the number of students; then the number of non-students is (420-x).


The total revenue equation is


    2.50x + 4.50*(420-x) = 1260   dollars.


From the equation,


    x =  = 315.


ANSWER.  315 students  and  420-315 = 105 non-students.


CHECK.   315*2.50 + 4.50*105 = 1260  dollars.    ! Precisely correct !

Solved.

---------------------

It is a standard tickets problem.

There are different methods of solving such problems.
In this site, there are lessons
    - Using systems of equations to solve problems on tickets
    - Three methods for solving standard (typical) problems on tickets
explaining and showing all basic methods of solving such problems.

From these lessons,  learn on how to solve such problems once and for all.

Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this online textbook under the topic "Systems of two linear equations in two unknowns".

Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.


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