Question 1154478
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<pre>

Let x = # of adult tickets;  then the # of student tickets = 700-x.


The total money equation is


    18*x + 11.50*(700-x) = 10812.50   dollars.


From the equation


    x = {{{(10812.50 - 11.50*700)/(18-11.50)}}} = 425.


<U>ANSWER</U>.  425 adult tickets, and the rest, 700-425 = 275 student tickets.


<U>CHECK</U>.   425*18 + 275*11.50 = 10,812.50 dollars, in total.  ! Precisely correct !
</pre>

Solved.


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It is a standard 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.