Question 1151523
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<pre>

You can start from these equations


     A  + C =  14      (1)   (counting people)

    9A + 5C = 110      (2)   (counting money)


where C and A are the numbers of children and adults, respectively.


From equation (1), express  C = 14-A  and substitute it into equation (2)


    9A + 5*(14-A) = 110.      (3)


Next, simplify and solve


    9A + 5*14 - 5A = 110

    4A             = 110 - 70 = 40

     A                        = 40/4 = 10.


<U>ANSWER</U>.  10 adults and 14-10 = 4 children.
</pre>


You also can start from equation &nbsp;(3) &nbsp;directly, &nbsp;if you want to setup the problem in &nbsp;1 &nbsp;(one) &nbsp;single equation.


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It is a standard tickets problem.


There are different methods of solving such problems.
In this site, &nbsp;there are 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>

explaining and showing all basic methods of solving such problems.


From this lesson, &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.