Question 1192105
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The school drama club hosted a spring musical. The club charged $3 per child and $5 per adult. 
A total of 374 tickets were sold, raising 1,524. How many child and adult tickets were sold?
( Please explain/ show work as well )
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<pre>
Let x be the number of the adult tickets sold;

then the number of the child tickets is (374-x).


Write the total money equation (also called as revenue equation)

    5x + 3*(374-x) = 1524  dollars.


Simplify and find x

    5x + 3*374 - 3x = 1524

    5x - 3x = 1524 - 3*374

       2x   =     402

        x   =     402/2 

        x   =     201.


<U>ANSWER</U>.  201 adult tickets, and the rest, 374 - 201 = 173 are child tickets.


<U>CHECK</U>.   5*201 + 3*173 = 1524 dollars, in total.   ! Correct !
</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 is a lesson

&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> 

explaining and showing different methods of solving such problems.


From this lesson, &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.