Question 1108699
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<pre>
Let c = # of children.


The "money" equation is

c*200 + (50-c)*350 = 15250.

200c + 50*350 - 350c = 15250,

-150c = 15350 - 30*350 = 4850  ====>  c = {{{(-4850)/(-150)}}} = 15.


<U>Answer</U>.  15 children and 50-15 = 35 adults.


<U>Check</U>.   15*200 + 35*350 = 15250 dollars.   ! Correct !
</pre>

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To see other similar solved problems on tickets, &nbsp;look into 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.


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.


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<U>Be aware !</U>  &nbsp;&nbsp;The solution and the answer &nbsp;("5 children") &nbsp;by &nbsp;@josgarithmetic &nbsp;both are &nbsp;&nbsp;<U>W R O N G</U>.