SOLUTION: A man is paid Php300 for each day he works and forfeits Php80 for each day he is idle. At the end of 20 days he nets Php4,500. How many days did he work?

Question 92885: A man is paid Php300 for each day he works and forfeits Php80 for each day he is idle. At the end of 20 days he nets Php4,500. How many days did he work?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A man is paid Php300 for each day he works and forfeits Php80 for each day he is idle. At the end of 20 days he nets Php4,500. How many days did he work?
------------
Let # of days he worked be "x"; His pay is 300x
-------------
Then "20-x" is # of days he did not work: His loss = 80(20-x)= 1600-80x
------------------------
EQUATION:
Gain - Loss = 4500
300x -(1600-80x) = 4500
380x = 6100
x = 16.0526 days ( which doesn't make any sense)
He worked 16.0526 days
==========================
Cheers,
Stan H.
RELATED QUESTIONS
a man is paid 150 pesos for each day, he works and forfeits 50 pesos for each day he is... (answered by Theo)

A man is paid P300 for each day he works and forfeits P80 for each day he is idle. At... (answered by josmiceli)

A man is paid $18 each day he works and forfeits $3 for each day he is idle. If at the... (answered by josmiceli)

A woman is paid $20 for each day she works and forfeits $5 for each day she is idle. At... (answered by lynnlo)

1. A woman is paid $20 for each day she works and forfeits $4 for each day she is idle.... (answered by richwmiller)

A woman is paid $20 for each day she works and forfeits $5 for each day she is idle. At... (answered by pricerk,Theo)

A man received $12 and free board for every day that he works but for each day that he is (answered by yenfox)

a laborer was employed to work for a daily wage of $15 and paid $2 per day of board. He... (answered by oberobic)

A man was hired to work for $3 a day, but on the condition that for every day he was idle (answered by richwmiller)