SOLUTION: a labourer is engaged for 20 days on the condition that he will receive rs 120 for each day he works and will be fined rs 10 for each day he is absent. if he receives rs 1880 in al

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Question 975021: a labourer is engaged for 20 days on the condition that he will receive rs 120 for each day he works and will be fined rs 10 for each day he is absent. if he receives rs 1880 in all, for how many days did he remain absent?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
a, how many attended days
x, how many absent days
a%2Bx=20

Account for final payment:
120%2Aa-10%2Ax=1880
Simplifying this accounting of pay,
12a-x=1880

System of equations:
system%2812a-x=188%2Ca-x=20%29

Starting with Elimination Method is convenient for this system.
%2812a-x%29-%28a-x%29=188-20
11a=168
a=168%2F11
a=15%263%2F11-------both a and x should be whole numbers, so maybe misunderstanding in my solution.

Another try:
Expecting 20*120=2400 rs. if he worked all twenty days, he only earned 1880 rs. This is 2400-1800=600 rs. that he lost. The first try is more sensible. Maybe he missed 4%268%2F11 days and attended work for 15%263%2F11 days.

Answer by MathTherapy(10552) 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 rs 120 for each day he works and will be fined rs 10 for each day he is absent. if he receives rs 1880 in all, for how many days did he remain absent?
Days absent:  highlight_green%284%29