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

31
8. ~698 2s. 6d. in debt. 9. ~240 18s. saved in 3 years. 10. ~1213 10s. 10d,
clear income.
VIII.
2. ~17 12s. 3d. the balance in favour of sugar. 3. 661b. of tea. 4. 6d. lost on
the sale. 5. ~21 13s. 4d. in money, and 8001b. of each species of cotton. 6.
~6 4s. 4d. gain. 7. 3s. 8 d. value of a bushel, and ld. over.
IX.
1. ~250 average yearly gain in 7 years. In the transactions of commerce it is:
frequently necessary to find the average price of several sets of units which may
have been bought or sold at different times and at different prices. And it may be
added that the word average is not restricted to matters of commerce, but is appliedl
to almost all human events and transactions, as the finding for any given number of'
years the births and deaths in a city, a county, or a nation.
2. Income tax on India Stocks ~117204 2s. 4d.: on Colonial Stocks ~47329 12s.:
on Foreign Stocks ~155686 11ls.: the whole amount ~320220 5s. 4d. 3. 5d. in the,
pound. 4. ~1 13s. an acre. 5. The price of wheat must be 8s. 3d. a bushel. 6.
Average compensation 8s. lOd. for each slave, and 9s. over.
X.
1. If the second have 1 share, then the first has 3 and the third has 4, and the
sum of all the shares is 8 shares, and the value ~1000; they are ~125, ~375, and
~500. 2. A's share ~123, B's ~205, C's ~287, D's ~369. 3. It appears that C has:
~5 more than D, B ~10 more than D, and A ~15 more than D, and the four
shares are equal ~30 and four times the share of D. But the four shares are
~1000; hence ~30 and 4 times D's share is equal to ~1000, and 4 times D's,
share is ~970, and D's share is ~242 10s., C's share ~247 10s., B's share ~252 10s.,
and A's share ~257 10s. 4. Share of a child 6s. 8d., of a woman 13s. 4d., of a man.
20s. 5. A man ~19 9s. 2d., a woman ~9 14s. 7d., a child ~4 17s. 31d. 6. 12s. 6d.
each. 7. ~48 18s. weekly, and 52 times that sum in the year. 8. In the year are52 half-working days and 261 whole days; the total amount of wages for the year is,
~3974 13s. 4d. 9. 7 workmen at 50s. a week, 14 at 31s. 6d. a week, and 77 at 14
a week.
XI.
1. See Art. 2. 2. See Section III. p. 16. 5. 330156 inches. 6. 293 lineall
yards; 293 an abstract number, denoting the number of times 37 lineal yards are.
contained in 10841 yards.
XII.
1. 1200 revolutions. 2. The hind wheel makes 400 revolutions while the fore,
wheel makes 500 in going over 4000 feet. 3. 528 revolutions. 4. A to B, 146,
miles: B to C, 582 miles: and Cto D, 735 miles. 5. 19 miles 1464 yards daily,
and 40-~ yards over. 6. 3281b. 5oz. lldrs., with 47drs. over. 7. One mile con-.
tains 21120 palms, 7040 spans, or 3520 cubits. 8. 1100 yards.
XIII.
1. See Art. 6. 2. 5168 square yards 4ft. 107in. 3. 308470144 square inches..
4. 108 square yards. 5. 8 lineal inches. 6. 2680 square inches.
XIV.
1. 18400 square feet. 2. 253 acres 1258 yards. 3. 400 acres. 4. 480 acres.
5. 121 allotments. 6. 1536 men. 7. The number is 3600 halfpence, in value
~7 10s. 8. The field consisted of 16 acres. 9. ~28 10s. 10. 52 inches wide. 11
29 yards in each piece.
XV.
1. See Sec. VI. 2. 106378 cuibic yards 24 feet 1035 inches. 3. 2 feet.