Question 1148751
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<pre>

x for $15 and y for $22.


      x +   y =  2000     (1)

    15x + 22y = 33500     (2)


From equation (1) express  x = 2000 - y  and substitute it into equation (2).


    15*(2000-y) + 22y = 33500

    y = {{{(33500-15*2000)/(22-15)}}} = 500.


<U>ANSWER</U>.  500 tickets for $22  and the rest  2000 - 500 = 1500 tickets for $15.


<U>CHECK</U>.  500*22 + 1500*15 = 33500 dollars.   ! Correct !
</pre>

Solved.


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It is a standard tickets problem.


There are different methods of solving such problems.
Read the 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>

in this site.


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 lessons are 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.