Question 1132796
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<pre>
Your first equation is

    x + y = 50     (counting the tickets)


Your second equation is your "money" equation, or "revenue"

   5x + 2y = 190    (dollars)


So, you have the system of 2 equations in 2 unknowns

    x + y  = 50,     (1)    and

   5x + 2y = 190.    (2)


There are different methods to solve the system.
Since you are a beginner, I will show you the simplest method, which is the Substitution method.


From equation (1), express  y = 50-x  and substitute it into the second equation, replacing y there.  You will get


   5x + 2*(50-x) = 190.


Simplify it step by step and solve for x.


    5x + 100 - 2x = 190.

    5x - 2x = 190 - 100

    3x = 90  ====>  x = 90/3 = 30.


We just found x, or the number of adults. It is 30.

Now substitute the found value of x= 30 into equation (1). 


   30 + y = 50

    y = 50-30 = 20

So, the remained number of children is 20.


<U>ANSWER</U>.  30 adults and 20 children.


<U>CHECK</U>.   30*5 + 20*2 = 150 + 40 = 190  dollars is your REVENUE, exactly as the problem states.

         Hence, the found values are the correct solution !
</pre>

Solved.


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It is a standard and typical ticket problem.


For ticket problems, &nbsp;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.


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>".