SOLUTION: A labourer is engaged for 20 days on the condition that he will receive for Rs. 60 for each day he works and will be fined Rs. 5 for each day he is absent. If he receives Rs. 745

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: A labourer is engaged for 20 days on the condition that he will receive for Rs. 60 for each day he works and will be fined Rs. 5 for each day he is absent. If he receives Rs. 745       Log On


   

Question 442756: A labourer is engaged for 20 days on the condition that he will receive for Rs. 60 for each day he
works and will be fined Rs. 5 for each day he is absent. If he receives Rs. 745 in all, for how many
days did he remain absent
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A labourer is engaged for 20 days on the condition that he will receive for Rs.
60 for each day he works and will be fined Rs. 5 for each day he is absent.
If he receives Rs. 745 in all, for how many days did he remain absent.
:
Let a = number of days absent
then
(20-a) = number of days worked
:
Pay amt - fine amt = 745
60(20-a) - 5a = 745
1200 - 60a - 5a = 745
-65a = 745 - 1200
-65a = -455
a = %28-455%29%2F%28-65%29
a = 7 days absent
:
:
Check this, he worked 13 days so we have:
13(60) - 7(5) =
780 - 35 = 745; confirms our solution