SOLUTION: A contractor estimated that her construction project would be between $700,000 and $750,000. She had already spent $496,000. How much more can she spend and remain within her est

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: A contractor estimated that her construction project would be between $700,000 and $750,000. She had already spent $496,000. How much more can she spend and remain within her est      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1195787: A contractor estimated that her construction project would be between $700,000 and
$750,000. She had already spent $496,000. How much more can she spend and remain
within her estimate?

Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
A contractor estimated that her construction project would be between $700,000 and
$750,000. She had already spent $496,000. How much more can she spend and remain
within her estimate?
~~~~~~~~~~~~~~~~~~~~

This problem is about solving a compound inequality

    700000 <= 496000 + x <= 750000.


To solve it and find x, subtract 496000 from both sides

    700000 - 496000 <= x <= 750000 - 496000,


which gives the 


ANSWER.  She can spend from $204,000 to $254,000 and to be still within her estimate.

Solved.

--------------

On solving systems of inequalities and compound inequalities,  see the lessons
    - Solving systems of linear inequalities in one unknown
    - Solving compound inequalities
in this site.