+0  
 
-1
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5
avatar+416 

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?

 

I still cant wrap my head around how to do the problem. Could anyone pls help?

 Apr 6, 2020
 #1
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Try writing an eqaution for t, or see if guess and check will work

 Apr 6, 2020
 #2
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DELETED

Guest Apr 6, 2020
 #3
avatar+24972 
+2

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?

 

\(\begin{array}{|rcll|} \hline (3t-3)\dfrac{\text{dollars}}{\text{hours}}\times (t+1)\text{hours} &=& $2+ (t+2)\dfrac{\text{dollars}}{\text{hours}}\times (3t-5)\text{hours} \\\\ (3t-3)(t+1) \text{dollars} &=& $2+ (t+2)(3t-5) \text{dollars} \\\\ (3t-3)(t+1)&=& 2+ (t+2)(3t-5)\\ 3(t-1)(t+1)&=& 2+ (t+2)(3t-5)\\ 3(t^2-1)&=& 2+ (t+2)(3t-5)\\ 3t^2-3 &=& 2+ (t+2)(3t-5)\\ 3t^2-3&=& 2+ 3t^2-5t+6t-10 \\ -3&=& 2+ -5t+6t-10 \\ -3&=& 2+t-10 \\ -3&=& t-8 \\ t &=& 8-3 \\ \mathbf{t} &=& \mathbf {5} \\ \hline \end{array}\)

 

laugh

 Apr 6, 2020
 #4
avatar+416 
+1

Oh! That does work ty!!

 Apr 6, 2020
 #5
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What was wrong with geno3141's answer ???

 

He finished his answer with this in the last line (under your first post)

 

  -17t + 30  =  -18t + 40

 

And said to you " And continue solving". You could't finish the above line by putting "t" on one side ??

 

-17t + 18 t =40 - 30

t = 5, which is your answer !!!!!!!!!!!!!!. 

Guest Apr 6, 2020

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