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
182
1
avatar+169 

On Monday, I worked t - 6  hours and earned 2t - 5 dollars per hour. My friend Andrew worked 2t - 8 hours but only earned  t - 5 dollars an hour. As it turns out, we earned the same amount. What is the value of t ?

 Jul 2, 2018
 #1
avatar
+1

Multiply the hours that both of you worked x amount of money you earned per hour. Then equate them and solve for t as follows:

 

 (t - 6) * (2t - 5) = (2t - 8) * (t - 5), solve for t

 

(t - 6) (2 t - 5) = (t - 5) (2 t - 8)

Expand out terms of the left hand side:
2 t^2 - 17 t + 30 = (t - 5) (2 t - 8)

Expand out terms of the right hand side:
2 t^2 - 17 t + 30 = 2 t^2 - 18 t + 40

Subtract 2 t^2 - 18 t + 40 from both sides:
t - 10 = 0

Add 10 to both sides:
t = 10 

 Jul 2, 2018

8 Online Users

avatar