Question 1124641
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<pre>
2.5*A + (112-A)*2.25 = 269.75         ( A = # of adults )


2.5A + 112*2.25 - 2.25A = 269.75


2.5A - 2.25A = 269.75 - 112*2.25


A = {{{(269.75 - 112*2.25)/(2.5 - 2.25)}}} = 71.


<U>Answer</U>.  71 adults  and  112-71 = 41 child.


<U>Check</U>.   71*2.5 + 41*2.25 = 269.75.   ! Correct !
</pre>

Solved.


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It is standard "ticket" problem.


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 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>".