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writing algebra equations and solving mathematical problems

Find the price of a conference table you would like to buy.
If you need to buy 6 chairs additionally for the table and have a $2000 budget, what is the highest price you can pay for a chair? (Ignore sales tax).
If x is the price of a chair what algebraic expression could be written to represent this problem?
Come up with an equation of your own that would relate to a practical situation. Explain the equation to the class.
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1 Answer

Hi Sara;
$2000≥(table)+6x
$2000≥t+6x
Let's subtract the table from both sides of the equation...
-t+$2000≥t+6x-t
-t+$2000≥6x
Let's divide both sides by 6...
(-t+$2000)/6≥(6x)/6
(-1/6)t+($2000/6)≥x
(-1/6)t+$333≥x
The price of each chair must be equal to or less than negative one-sixth of the price of the table plus $333.
If the table cost $2000, there is no money remaining for chairs.