+422 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?
+26367 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?
\(\begin{array}{|rcll|} \hline (3t-3)\dfrac{\text{dollars}}{\text{hours}}\times (t+1)\text{hours} &=& $2+ (t+2)\dfrac{\text{dollars}}{\text{hours}}\times (3t-5)\text{hours} \\\\ (3t-3)(t+1) \text{dollars} &=& $2+ (t+2)(3t-5) \text{dollars} \\\\ (3t-3)(t+1)&=& 2+ (t+2)(3t-5)\\ 3(t-1)(t+1)&=& 2+ (t+2)(3t-5)\\ 3(t^2-1)&=& 2+ (t+2)(3t-5)\\ 3t^2-3 &=& 2+ (t+2)(3t-5)\\ 3t^2-3&=& 2+ 3t^2-5t+6t-10 \\ -3&=& 2+ -5t+6t-10 \\ -3&=& 2+t-10 \\ -3&=& t-8 \\ t &=& 8-3 \\ \mathbf{t} &=& \mathbf {5} \\ \hline \end{array}\)
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 !!!!!!!!!!!!!!.
