Question 405392: Translate the following situation into an equation. Do not solve.
“Kenny spent one hour more than Lucas studying for their Chemistry test. Andrea spent one hour less than twice the hours Lucas spent studying for the test. If together they spent fourteen hours studying, how many hours did Lucas study?”
Answer by IWork4Dessert(60)   (Show Source):
You can put this solution on YOUR website! As I say constantly, break the equation down before you do anything at all to it.
Start with taking the first sentence.
"Kenny spent one hour more than Lucas"
So begin with saying that Lucas is "x" and Kenny is "x+1".
The next sentence:
"Andrea spent one hour less than twice the hours Lucas"
Since Lucas is "x", you can say that Andrea is twice Lucas, "2x", and one hour less than Lucas, "2x-1".
Now the last sentence.
"...they spent fourteen hours..."
This gives you their total time, which will be the overall answer.
Now just add your variables up together and leave your equation alone.
(x)+(x+1)+(2x-1)=14
I'm quite tired, so if I'm somehow mistaken please let me know.
Hope this helps :)
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