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

30
RESULTS, HINTS, ETC., FOR THE EXERCISES.
I.
2. 69 fourpenny pieces. 3. 1680 half-crowns, 3360 sixpences, 5040 fourpenny
pieces. 4. 133333 half-crowns and 10 pence over. 31746 half-guineas and 4 pence
over. 5. 5530 farthings. 7. When the given number of farthings is an exact
number of pounds.
II.
1. ~1395 19s. 71d. 3. ~2095891 11s. ana 29316402 pieces of coin. 4. A owes
to B ~122 ls. 23d. 5. Increase of 1866 over 1865, ~13,464,865: Decrease of 1867
under 1866, ~10,006,489.
III.
1. The products are respectively ~23 3s. 11d.: ~33 15s. 114d.: ~45 7s. 11d..
~56 19s. 10d.: ~67 11s. 10d.: ~80 3s. 10~d.: ~92 15s. 10d.: 101 7s. 91d.
2. ~521 7s. 9`d.: ~551 3s. 84d.: and ~2606 19s. 1-d. 3. Multiply the sum by
1000 and subtract the given sum from the product. 4. See Art. 4, note. 5. Art.
7, note. 6. The quotient is 6s. 11~d. and ~12 14s. 3`d. remainder. 7. 5d. and
5 times. 8. 328 times. 9. See Art. 4, note. 10. See Section II. pp. 47, 48, and
Section VII. p. 3.
IV.
1. ~24 Is. 2. 19 persons. 3. 123 persons and 2s. 6`d. over. 4. If the number
of articles divided by 40 be subtracted from 3 times the number, the difference will
be the price required. 5. 6s. 8d. is one-third of ~i. 6. If ~3 16s. 6d. te divided by
6, the quotient gives the value of one article, and if this be multiplied by 13 the
value of 13 is known. 7. Divide the sum by 365. 8. ~8 5s. 3d. shared each, and
4s. 9d. over.
V.
1. 420 crowns. 2. 605 francs. 3. 61009 coins. 4. 6680 ducats. 5. 592 halfcrowns. 6. 31941 roubles. 7. 1 rupee is worth 2s. 3d. 8. ~211 13s. 4d.
VI.
1. 56 half-crowns, 140 shillings, and 280 sixpences. 2. 114 crowns and 114
shillings. S. 22 penny, 44 shilling, and 66 crown pieces. 4. A had ~200 and B
200s. 5. The first has ~20, the second ~100, and the third ~400. 6. 20 of each.
7. 5d., 30s., and ~210. 8. 60 sixpenny pieces, 30s., and 12 half-crown pieces.
VII.
2. 5d. in the pound. 3. ~28 Is. 8d., the difference. 4. ~1178 2s. 6d. 5..
~131 2s. 6d. 6. 14s. 5Sd. daily expenditure, and 2s. 8Ad. over.
7. Before the strike: 52 weeks' wages at 15s. a week......... 780s.
Savings at end of the year............ = 26s.
52 weeks' expenses of living..... 754s.
After the strike: Wages increased 2s., 52 weeks at 17s.... - 884s.
Expenses of living, &c., increased by 3d. in
the shilling, gives an addition of 188s. 6d.
to 754s., and yearly expenses....... 942s. 6d.
Instead of additional saving, at end of year
he is in debt................... 58s. 6d,