Oh for the Mathematics of Yesteryear
Correct solutions were received from Mary (Birchwood Community High School) and Chor Kiang. Well done.
Part 1
First, find the total ounces of bread.
600 \times35 \times24 ounces = 504000 ounces
Now, find the new number of men-shares needed.
4800 \times45 = 216000
Divide 504000 ounces by 216000 to get 2\frac{1}{3} ounces a day.
Hence, each man must only eat 2\frac{1}{3} ounces of bread a day.
Part 2
£14 10\text{s} = 290\text{s}
£5 \; 8\text{s } 9 \text{d} = 108.75 shillings
| Weight (cwt) | Distance (miles) | Amount (shillings) | |
|---|---|---|---|
| 60 | can be transported for | 20 | for 290 |
| 1 | can be transported for | 20 | for \frac{290}{60} = \frac{29}{6} |
| 1 | can be transported for | 30 | \frac{29}{6}\times\frac{30}{20}= 7.25 |
| \frac{1}{7.25} | can be transported for | 30 | 1 |
| \frac{1}{7.25}\times 108.75 | can be transported for | 30 | 108.75 |
Since \frac{108.75}{7.25} = 15
15 cwt can be carried for 30 miles at a cost of £5 \; 8\text{s } 9 \text{d}
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