Question 1189810
.
Miguel and Javier went to an arcade where the machines took tokens. 
Miguel played 9 games of ping pong and 5 games of pinball, using a total of 29 tokens. 
At the same time, Javier played 3 games of ping pong and 1 game of pinball, using up 7 tokens.
Part A: Write a system of equation to model this situation.
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<pre>
Let x be the number of tokens to play ping pong,

    y be the number of tokens to play pinball.


Then the system of equation is as you read the problem

    9x + 5y = 29   tokens  (as Miguel played)

    3x +  y =  7   tockens (as Javier played).
</pre>

Solved and completed.


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For many similar problems, &nbsp;writing systems of equations &nbsp;(setup) &nbsp;is usually quite simple routine part of the solution.


The key words in this activity, &nbsp;that may help to a beginner student, &nbsp;are &nbsp;"write equations as you read the problem".


These words define an instruction for you "what to do" : &nbsp;read the problem first and then re-read it
as many times as you need to get full understanding of the condition and understanding on what to do.


To extend your practice/knowledge, &nbsp;see the lessons

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/coordinate/lessons/Roses-and-violets.lesson>Roses and violets</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/coordinate/Counting-calories-and-grams-of-fat-in-combined-food.lesson>Counting calories and grams of fat in combined food</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/coordinate/lessons/A-theater-group-made-appearances-in-two-cities.lesson>A theater group made appearances in two cities</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/coordinate/lessons/Exchange-problems-solved-using-systems-of-linear-equations.lesson>Exchange problems solved using systems of linear equations</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/coordinate/lessons/Typical-word-problems-on-systems-of-2-equations-in-2-unknowns.lesson>Typical word problems on systems of 2 equations in 2 unknowns</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/coordinate/lessons/How-to-algebreze-and-to-solve-this-problem-on-2-eqns-in-2-unknwns.lesson>HOW TO algebreze and solve this problem on 2 equations in 2 unknowns</A> 

in this site.



After reading these lessons, &nbsp;you will tackle such problems without asking for help from outside.



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The lesson to learn from my post is THIS :


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The internal combustion engine needs to turn on the ignition first to start working.


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Likewise, begin your work on solving word problems saying &nbsp;" write equation/equations as you read the problem ".