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On Tuesday, I worked \(t+1\) hours and earned \(3t-3\) dollars per hour. My friend Andrew worked \(3t-5\) hours but only earned \(t+2\) dollars an hour. At the end of the day, I had earned two dollars more than he had. What is the value of \(t\) ?

 Dec 27, 2018
 #1
avatar+98005 
+2

We have this

 

(t + 1) (3t - 3) =  (3t - 5) (t + 2) + 2       simplify

 

3t^2 - 3  =  3t^2 + t  - 10  + 2        subtract 3t^2 from both sides  and simplify

 

-3  =  t   - 8        add  8 to both sides

 

5  =  t

 

 

cool cool cool

 Dec 27, 2018

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