How much money was deducted from the man's pay for absences in January?

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In summary, a man is paid N20 for working full time and N2 is deducted everytime he is absent. At the end of the month of January, the total amount worked was N350, including absent days. By looking at multiples of 20, we can determine that the man worked for 18 days and was absent for 5 days, making a total of 23 days. Since adding one more working day would exceed the number of days in January, the only possible solution is that the man's absent pay is N10.
  • #1
mathdad
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A man is paid N20 for working full time and N2 is deducted everytime he is absent.
If at the end of the month of January, the money worked is N350 including absent days, how much was his absent pay?

My Work:

How close does 20 go into 350 without a remainder?

340 ÷ 20 = 17

350 - 340 = 10

2 times what = 10?

2 x 5 = 10

So, his absent pay is N5.

Correct?

If not correct, can someone set up the proper equation needed?
 
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  • #2
I would look at multiples of 20 greater than 350. The smallest of these is 360. So, we may write

\(\displaystyle 350=360-10=18\cdot20-5\cdot2\)

18 days working and 5 days absent, for a total of 23 days. Now, we observe that for every working day we add, we must add 10 absent days, and since we are already at 23 days, adding 11 will be more than the number of days in January. So, this is the only possible solution. Therefore, his absent pay is -N10.
 
  • #3
MarkFL said:
I would look at multiples of 20 greater than 350. The smallest of these is 360. So, we may write

\(\displaystyle 350=360-10=18\cdot20-5\cdot2\)

18 days working and 5 days absent, for a total of 23 days. Now, we observe that for every working day we add, we must add 10 absent days, and since we are already at 23 days, adding 11 will be more than the number of days in January. So, this is the only possible solution. Therefore, his absent pay is -N10.

You meant N10 not -N10, right?
 
  • #4
RTCNTC said:
You meant N10 not -N10, right?

No, it is a deduction, so it is a negative value. :D
 
  • #5
Thanks.
 

FAQ: How much money was deducted from the man's pay for absences in January?

What does "absences in January" refer to?

"Absences in January" refers to the days in January that the man did not work or was absent from work.

How much money was deducted from the man's pay?

The exact amount of money deducted from the man's pay depends on several factors, such as his salary, the company's policies on absences, and the number of days he was absent in January.

What are the reasons for the man's absences in January?

The reasons for the man's absences in January could vary, but some common reasons could include illness, personal reasons, or vacation time.

Is the man's pay affected by his absences in January?

Yes, the man's pay will be affected by his absences in January. Depending on the company's policies, his pay may be deducted for the days he was absent.

Can the man appeal the deductions from his pay for absences in January?

Yes, the man can appeal the deductions from his pay for absences in January. He can discuss his reasons for the absences with his employer and provide any necessary documentation to support his appeal.

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