Elementary arithmetic, with brief notices of its history... by Robert Potts.

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30 oxen for 2 months, and 100 sheep for 31 months; B puts in 20
horses for 1 month, 40 oxen fcr 1- months, and 200 sheep for 4
months. If the food consumed in the. same time by a horse, an ox,
and a sheep be in the ratio 3: 2:1; find the portion of the rent of
the field which each must pay.
10. Three merchants A, B, C, gain ~5000 by trading in 25
months. A's capital was ~2400, B's ~3500, and C's ~4500. B put
in his capital for the whole time, A having put in his for the last 15
months, and C for the last 12 months; what should each receive?
11. A, B, and C rent a pasture for a year for 20 guineas: A puts in
25 cattle for the whole time, B 30 for 9 months, C 45 for 7 months;
find the rent paid by each.
12. Three persons begin trade, each by investing ~500 in the
concern. A adds ~50 more at the end of every two months, B adds
~75 at the end of every three months, and C ~100 at the end of every
four months. If the profits be ~661. 10s. at the end of the year, what
is each partner's share?
13. A bankrupt has three creditors, to whom the sums due are as
the numbers 3, 4, 5; if his assets are valued at ~6000, find the sums
they will respectively receive.
14. A and B contract to execute a certain order for ~1245. A
employs 100 children for 3 months, 80 women for 2 months, and 40
men for 1 month; B employs 120 children for 2 months, 60 women
for 1- months, and 80 men for 21 months. If the work done in the
same time by a child, a woman, and a man be in the ratio 1: 2: 3,
find the sum of money which A and B must each receive.
XII.
1. The exchange between London and Paris is 25{- francs for
one pound sterling; between Paris and Amsterdam 117 francs for 55
florins; between Amsterdam and HIamburgh 11 florins for 13 marks
what is the exchange between London and Hamburgh?
2. If 31b. of tea cost as much as 171b. of sugar, and lOlb. of
sugar as much 11lb. cloves; how many pounds of tea must be given
for 100 pounds of cloves?
3. If 6 pounds of pepper be worth 13 pounds of ginger, and 19
pounds of ginger be worth 4~ pounds of cloves, and 10 pounds of
cloves be equivalent to 63 pounds of sugar at 5d. per pound; what is
the value of one hundredweight of pepper?
4. If 7 oxen are worth 45 sheep, and 3 sheep cost 10 guineas, what
will 8 oxen cost?
5. If 7 oxen be worth 42 sheep, and 3 sheep be worth 16 turkeys
or 40 geese; how many oxen must be given in exchange for 290
turkeys and 715 geese?
XIII.
1. Two liquids cost 7 and 9 shillings a gallon respectively. At
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