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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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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).
Solved and completed.
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For many similar problems, writing systems of equations (setup) is usually quite simple routine part of the solution.
The key words in this activity, that may help to a beginner student, are "write equations as you read the problem".
These words define an instruction for you "what to do" : 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, see the lessons
- Roses and violets
- Counting calories and grams of fat in combined food
- A theater group made appearances in two cities
- Exchange problems solved using systems of linear equations
- Typical word problems on systems of 2 equations in 2 unknowns
- HOW TO algebreze and solve this problem on 2 equations in 2 unknowns
in this site.
After reading these lessons, you will tackle such problems without asking for help from outside.
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The lesson to learn from my post is THIS :
The internal combustion engine needs to turn on the ignition first to start working.
Likewise, begin your work on solving word problems saying " write equation/equations as you read the problem ".