Question 1099781
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<pre>
Let  x be the number of the $25 tickets.

Then the number of the $15 tickets is (1700-x).


The "money" equation is

25x + 15*(1700-x) = 33000   dollars.


Simplify and solve for x:

25x + 25500 - 15x = 33000  ====>  10x = 33000 - 25500 = 7500  ====>  x = {{{7500/10}}} = 750.


<U>Answer</U>.  750 tickets by $25 and the rest  1700-750 = 950 tickets by $15.


<U>Check</U>.   750*25 + 950*15 = 33000.   ! Correct !
</pre>

Solved.


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There are also other methods for solving tickets problems,
but this one is the simplest and most straightforward among the basic methods.


See 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.