EXAMPLES.

£. s. d.

1. Divide 29 15 0 by 21
2. Divide 27 16 0 by 32
3. Divide 67 9 4 by 44
4. Divide 24 16 6 by 36
5. Divide 128 9 0 by 42
6. Divide 269 12 4 by 56
7. Divide 248 10 8 by 64
8. Divide 65 14 0 by 72
9. Divide 5 10 3 by 81

2. When the divisor exceeds 12, and is the product of two
or more numbers in the table multiplied together.

RULE.

Divide by one of those numbers first, and the quotient by the other, and the last quotient will

the answer.

1 12 2

0

3 71

0 10 64

0

2 6

79

0 11

S. d.

£•
Ans. 1 8 4

0 17 41
1.10 8

0 13 94

3 12

4 16 3

3 17 8

0 18 S

0 1 41

Multiply by

produces

3. When the divisor is large, and not a composite number, you may divide by the whole divisor at once, after manner of long division, as follows, viz.

Divide 128l. 13s. 3d. by 47.
d.
£. s. d. £. s.
47)128 15 S(2 14 9 quotient.

94

Multiply by

EXAMPLES.

54 pounds remaining.
20 and add in the 13s.

223

188

693 shillings, which divided by 47, gives
[148. in the quotient.

47

35 shillings remaining.
12 and add in the sd.

£• S. d.

2. Divide 113 13 4 by 31.

3. Divide 85 4. Divide $15 5. Divide 132 6. Divide 740 7. Divide 888

produces 423 pence, which divided as above, gives
[9d. in the quotient

423

6 3 by 75.
3 104 by 365.

0

8 by 68. 16 8 by 100. 18 10 by 95.

1

9

s. d.

13 4

29. 17 31

18 10

8 2

7 11

s.d..

1 53

1 5

1 13

0.4

site nus

nce, afte

t

EXAMPLES OF

WEIGHTS, MEASURES, &c. 1. Divide 14 cwt. 1 qr. 8 lb. of sugar equally among

8 men.

C.

qr.

lb. oz.

8)14 1 8 0

i

1 3 4

parts.

14 1 8 0 Proof.

2. Divide 6 T.

11 cwt. 3 qrs. 19 lb. by 4 Ans. 1T. 12cwt. 3qrs, 25lb. 12oz. S. Divide 14 cwt. 1 qr. 12 lb. by 5

Ans. 2cwt. 3qrs. 13lb, 9oz. 9dr.+

4. Divide 16 lb. 13 oz. 10 dr. by 6

5. Divide 56 lb. 6 oz.

6. Divide 26 lb. 1 oz.

7. Divide 9 hhds. 28

Ans. 2lb. 12oz. 15dr. 17 pwt. of silver into 9 equal Ans. 6lb. 3oz. 8pwt. 13grs. + pwt. by 24

Ans. 1lb. 1oz. 1pwt. 1gr. gals. 2 qts. by 12 Ans. Ohhds. 49gals, 2qts. 1pt,

8 Quotient.

8

5

8. Divide 168 bu. 1 pk. 6 qts. by 35

10. Divide 43. yds. 1 qr. 1

9. Divide 17 lea. 1 m. 4 fur.

Ans. Abu. 3pks. 2qts. 21 po. by 21

Ans. 2m. 4fur. 1po. na. by 11

Ans. Syds. 3qrs. Sna.

11. Divide 97 E. E. 4 qrs. 1 na. by 5

soldiers.

Ans. 19yds. 2qrs. Sna.↓ 12. Divide 4 gallons of brandy equally among 144 Ans. 1gill a-piece. 15. Bought a dozen of silver spoons, which together weighed 3lb. 2 oz. 13 pwt. 12 grs. how much silver did each Ans. 3oz. 4pwt. 11gr. 14. Bought 17 cwt. 3 qrs. 19 lb. of sugar, and sold out one third of it; how much remains unsold?

spoon

contain ?

Ans. 11cwt. Sqrs. 22lb.

15. From a piece of cloth containing 64 yards 2 na. a taylor was ordered to make 9 soldiers' coats, which took one third of the whole piece; how many yards did each coat contain ? Ans. 2yds. 1er. 2na.

PRACTICAL QUESTIONS.

1. If 9 yards of cloth cost 41. 3s. 74d. what is that per yard ?

£. s. d. qr. 9)4 3 7 2

9 3 2 Answer.

2. If 11 tons of hay cost 231. Os. 2d. what is that per ton ? Ans. £2 1s. 10d.

3. If 12 gallons of brandy cost 41. 15s. 6d. what is that per gallon P Ans. 7s. 11d. 2qrs.

4. If 84 lbs. of cheese cost 1l. 16s. 9d. what is that per pound? Ans. 54d. 5. Bought 48 pairs of stockings for 111. 2s. how much a pair do they stand me in? Ans. 4s. 7id.

6. If a reckoning of 5l. 8s. 10d. be paid equally among 13 persons what do they pay a-piece? Ans. 8s. 4 d.

7. A piece of cloth containing 24 yards, cost 181. 6s. what did it cost per yard? Ans. 15s. 3d.

8. If a hogshead of wine cost 33l. 12s. what is it a gallon? Ans. 10s. 8d.

9. If 1 cwt. of sugar cost 3l. 10s. what is it

per pound? Ans. 7 d.

10. If a man spends 717. 14s. 6d. a year what is that per calendar month? Ans. £5 19s. 6d.

11. The Prince of Wales' salary is 150,000l. a year, what is that a day? Ans. £410 19s. 2d.

12. A privateer takes a prize worth 12465 dollars, of which the owner takes one half, the officers one fourth, and the remainder is equally divided among the sailors, who are 125 in number; how much is each sailor's part? Ans. $24 93cts.

13. Three merchants, A, B, and C, have a ship in company. A hath, B, and C, and they receive for freight 2287. 16s. 8d. It is required to divide it among the owners according to their respective shares.

Ans. A's share £143 0s. 5d. B's share £57 4s. 2d.
C's share £28 12s. Id,

14. A privateer having taken a prize worth $6850, it
is divided into one hundred shares; of which the captain
is to have 11; 2 lieutenants, each 5; 12 midshipmen,
each 2; and the remainder is to be divided equally
among the sailors, who are 105 in number.

Ans. Captain's share $753 50cts. lieut's. $342 50cts. a midshipman's $137, and a sailor's $35 88cts

REDUCTION,

TEACHES to bring or change numbers from one name
to another, without altering their value.

Reduction is either Descending or Ascending.

Descending is when great names are brought into small, as pounds into shillings, days into hours, &c.-This is done by Multiplication.

Ascending is when small names are brought into great, as shillings into pounds, hours into days, &c. This is performed by Division.

REDUCTION DESCENDING.

RULE.

Multiply the highest denomination given, by so many of the next less as make one of that greater, and thus continue till you have brought it down as low as your question requires.

PROOF. Change the order of the question, and divide your last product by the last multiplier, and so on.

EXAMPLES.

1. In 251. 15s, 9d. 2qrs. how many farthings?