Transcript Achbar and his donkeys

Achbar and his donkeys
Substitution egyptian style!
Enter here if you dare..
Courtesy of: www.eyelid.co.uk
Achbar and his donkeys
Achbar is renting some donkeys for his transportation
company, he is no good with figures and needs your help
as an administrator to make sure he can afford to rent
them whilst making enough money to feed his family.
Use the notes he has given you to work out his finances.
Good luck!
Information sheet x2
Egyptian numbers
Rent and income
Rent: 30 donkeys @ 200 deben per month per donkey
Rent = 200 deben per donkey
r = 200d
r = 200 × 30
r = 6000 deben
Income: 30 donkeys work for 16 days at 20 deben per day
Income = 20 debens × donkeys × working days
i = 20dw
i = 20 × 30 × 16
i = 9600 deben
Profit before feeding and medication = income – rent
p=i–r
p = 9600 – 6000
p = 3600 deben
Feeding and medication
30 days of feed per donkey: 2 deben on off days 4 deben on work days.
Food cost = 30 donkeys (2 × off days + 4 × work days)
d = 30 (2o + 4w)
d = 30 (2 ×14 + 4 × 16)
d = 30 (28 + 64)
d = 30 × 92
d = 2760 deben per month
Average visits by the doctor = 3+1+4+6+1
5
Doctors cost = 150 deben per visit
d = 150v
d = 150 × 3
d = 450 deben
= 15
5
= 3 days
Monthly profit for achbar
Achbars profit = Profit after rent – feeding costs – medicinal costs
Achbars profit = 3600 – 2760 – 450
Achbars profit = 390 deben
Oh no! Achbar needs to make at least 1000 deben
a month to keep his family!
How many days must the donkeys work?
Remember: rent is monthly so it stays the same and
so does the number of doctors visits!
The answer
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One extra day would be 600 deben ( 30 × 20)
The food for that day would go up by 2 debens per donkey so
30 × 2 = 60 (they get twice as much food on a working day)
An extra day would give us 600 – 60 = 540 deben
540 + 390 = 930 deben – that still isn’t enough!
2 extra days would give us 2 x 540 = 1080 deben.
1080 + 390 = 1470 deben
Two extra days gives Achbar enough deben so the donkeys need to
work for: 16+2 = 18 days
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The donkeys need to work for 18 days
per month.