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

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The man earns N20 for full-time work, and N2 is deducted for each absence. In January, he worked enough to earn N350, which indicates he was absent for a total of 5 days. The calculations show that he worked 18 days, leading to a deduction of N10 for his absences. The final absent pay is confirmed as a negative value of N10, reflecting the deductions from his total earnings. This calculation clarifies the impact of absences on his overall pay for the month.
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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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I would look at multiples of 20 greater than 350. The smallest of these is 360. So, we may write

$$350=360-10=18\cdot20-5\cdot2$$

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.
 
MarkFL said:
I would look at multiples of 20 greater than 350. The smallest of these is 360. So, we may write

$$350=360-10=18\cdot20-5\cdot2$$

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?
 
RTCNTC said:
You meant N10 not -N10, right?

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