Question 1169003
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A play was attended by 456 people. Patron's tickets cost $2 and all other tickets cost $3. 
If the total box office receipts were $1131, how many of each ticket was sold?
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<pre>
Let x = the number of the "all other tickets" at $3 each.

Then the number of the patron's tickets is  (456-x).


Now you write the total money equation (the revenue)


    3x + 2*(456-x) = 1131.


From the equation, you get


    x = {{{(1131 - 2*456)/(3-2)}}} = 219.


<U>ANSWER</U>.  219 tickets at $3 and the rest, (456-219) = 237 tickets at $2.
</pre>

Solved.


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It is a standard and typical tickets problem.


There are different methods of solving such problems.
In this site, there are lessons

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/coordinate/lessons/Using-systems-of-equations-to-solve-problems-on-Tickets.lesson>Using systems of equations to solve problems on tickets</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/coordinate/lessons/Three-methods-for-solving-standard-typical-problem-on-tickets.lesson>Three methods for solving standard (typical) problems on tickets</A>

explaining and showing all basic methods of solving such problems.


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


Also, &nbsp;you have this free of charge online textbook in ALGEBRA-I in this site

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-I - YOUR ONLINE TEXTBOOK</A>.


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


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.