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£. s. d.

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2. When the divisor exceeds 12, and is the product of two

or more numbers in the table multiplied together.

RULE.

1

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

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Ans. 15 15 9

7 7 11 17 12 7 11 6 31 10 5 9

3 10 91 23

4 81 20 6 31

1 12 21 0 371 0 10 61 0 2 6 79 0 111

d. Ans. 1 84

0 17 41 1 10 8 0 13 93 3 1 2 4 16 31 3 17 8 0 18 S 0 1 41

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6. S.

d. 10. Divide u5 10' O by 90 11. Divide 136 16 6 by 108 12. Divide 202 15 6 by 121 13. Divide 34 4 O by 144

S. d.

5 8 1

5 4 1 13 6 0 4 9

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.

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

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Multiply by

produces

693 shillings, which divided by 47, gives
47

[148. in the quotient.

223
188

35 shillings remaining.
Multiply by 12 and add in the sd.
produces 423 pence, which divided as above, gives

423 [9d. in the quotient

fo. S. d.

6. S. d.

ti

1

2. Divide 115. 134 by 31.
$. Divide 85 6 3 by 75.
4. Divide $15 3 104 by 365.
5. Divide 132 08 by 68.
6. Divide 740 16 8 by 100.
7. Divide 888 18 10 by 95.

Ans. 3 13 4
1

9.
0 17 S
1 18 10
7 8 2
9 11

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

C. gr. lb. oz.

8 0

8)14 1

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14 1 8 0 Proof.

X.

2. Divide 6 T. 11 cwt. S qrs. 19 lb. by 4

Ans. 1T. 12cwt. 3qrs, 25lb, 12oz,
S. Divide 14 cüt. 1 qr: 12 lb. by 5

Ansi 2cwt. 3qrs. 1316, 9oz, 9dr.+ 4. Divide 16 lb. 13 oz. 10 dr. by 6

Ans. 216. 12oz. 15dr. 5. Divide 56 lb. 6 oz. 17 pwt. of silver into 9 equal parts.

Ans. 6lb. 30%. Spwt. 13grs.to 6. Divide 26 lb. 1 ož. 5 pwt. by 24

Ans. ilb. 1oz. 1pwt. 1gr. 7. Divide 9 hhds. 28 gals. 2 qts. by 12

Ans. Ohhds. 49gals, 2qts. 1pt, 8. Divide 168 bu. 1 pk. 6 qts. by 35

Ans. 464. 3pks. 2qts. 9. Divide 17 lea. 1 m. 4 fur. 21 po. by 21

Ans. 2ń. 4fur. 1po. 10. Divide 43. yds. 1 qr.1 na: by 11

Ans. Syds. 3qrs. 3na. 11. Divide 97 E. E. 4 qrs. 1 na. by 5

Ans. 19yds. 2grs. Sna. to 12. Divide 41 gallons of brandy equally among 144 goldiers,

Ans. 1gill a-piece. 13. Bought a dozen of silver spoons, which together weighed 3lb. 2 oz. 15 pwt. 12 grs.

how much silver did each spoon contain ?

Ans. 302. 4pwt. 11gr. 14. Bought 17 cwt. S grs. 19 lb. of sugar, and sold out one;third of it; how much remains unsold ?

Ans. 11cwt. Sgrs. 2016.

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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. Zyds. lår. 2na.

PRACTICAL QUESTIONS.

1. If 9 yards of cloth cost 41. 38. 7d. what is that per yard ?

fo. s. d. gr. 9)4 37.2

9 3 2 Answer.

pound?

2. If 11 tons of hay cost 231, Os. 2d. what is that per ton ?

Ans. £2 ls. 10d. 3. If 12 gallons of brandy cost 41. 15s. Ed. what is that per gallon?

Ans. 7s. 11d. 2qrs. 4. If 84 lbs. of cheese cost 1l. 16s, 9d. what is that per

Ans. 54d. 5. Bought 48 pairs of stockings for 11l. 2s. how much a pair do they stand me in ?

Ans. 4s. 7d. 6. If a reckoning of 51. 8s. 101d. be paid equally among 13 persons what do they pay a-piece ?" Ans. 8s. 41d.

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 3şl. 12s, what is it a gallon

Ans. 10s. 8d. 9. If 1 cwt. of sugar cost 31. 10s. what is it per pound?

Ans. 71d. 10. If a man spends 711. 145. 6d. a year what is that per calendar month?

Ans. 6,5 19s. 61d. 11. The Prince of Wales' salary is 150,000l. a year, what is that a day?

Ans. 8410 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 ave 125 in namber; how much is each sailor's part ?

Ans. $24 93cts.

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13. Three mercnants, A, B, and C, have a ship in company. A hathf, By, and C }, and they receive for freight 2281. 16s. 8d. It is required to divide it among the owners according to their respective shares.

Ans. A's share £ 143 Os. 5d. B's share £57 45. 2d. C's share £, 28. 125. ld,

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. 8342 50cts. & midshipinan'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 emall, 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.

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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 brouglit it down as low as your question requires.

Proor. Change the oruer of the question, and divide your last product by the last multiplier, and so on.

EXAMPLES,

1. In 251. 158, 9d, 2grs. how many farthings?

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