We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
419
7
avatar+4090 

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 29, 2017
 #1
avatar+502 
0

I am not 100% sure if this answer is correct but is the answer \(\frac{7}{6}\)

.
 Dec 29, 2017
 #2
avatar+502 
0

If it is then I will explain how I got it.

Rauhan  Dec 29, 2017
 #3
avatar+4090 
0

i don't think so

 Dec 29, 2017
 #4
avatar+502 
0

nevermind I got it.

 

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

 

Expanding gives

 

\(3t^2-3t+3t-3= 3t^2+6t-5t-10\)

 

Get the like terms together

 

\(3t^2-3t^2 -3t+3t +5t - 6t=-10+3\)

 

3t2 cuts out and the remaining equals to -t but u are looking for a positive t so so multiply both sides by (-).

 

therefore this gives

 

\(t=10-3\)

 

\(t=7\)

 

So on Tuesday, u worked 8 hours and got 18$ and Andrew worked 16 hours and got 9 dollars. And also the question should be

'At the end of the day, I had earned two times more than he had. What is the value of t?'

 Dec 29, 2017
 #5
avatar+4090 
+1

nope, t=5

 Dec 29, 2017
 #6
avatar+502 
0

substituting 5 in the question doesn't give 2 times the dollars

Rauhan  Dec 29, 2017
 #7
avatar+99539 
+1

Hours * Rate per hour  = Total Amt

 

So

 

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

 

3t^2 + 3t  - 3t - 3  =  3t^2  - 5t + 6t - 10  + 2

 

-3   =  1t - 8         add 8  to both sides

 

5  =  1t

 

5  = t  

 

 

Check

 

(5 + 1)(3*5 - 3)  =  (3(5) - 5 ) ( 5 + 2)  + 2   ???

 

(6)(12)  = (10)(7)  + 2

 

72   =  70  + 2

 

So.....t  = 5  is correct

 

 

 

cool cool cool

 Dec 29, 2017

30 Online Users

avatar
avatar