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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.
8)14 1 8 0

oz.

1 3 4 8 Quotient.

8

14 1 8 D Proof.

2. Divide 6 T. 11 cwt. 3 qrs. 19 lb. by 4

Ans. 1T. 12cwt. Sqrs. 25lb. 120%. 3. Divide 14 cwt. 1 qr. 12 lb. by 5

Ans. 2cwt. Sqrs. 131b. 9oz. 9dr. t. 4. Divide 16 lb. 13 02. 10 dr. by 6

Ans. 2lb. 12oz. 15dr. 5. Divide 56 lb. 6 oz. 17 pwt. of silver into 9 equal parts.

Ans. 6lb. Soz. 8pwt. 18grs. + 6. Divide 26 lb. 1 oz. 5 pwt. by 24

Ans. ilb. 1oz. Ipwt. Igr. 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. 4bu. Spks. 2qts. 9. Divide 17 lea. 1 m. 4 fur. 21 poi by 21

Ans. 2n. 4fur. 1pa. 10. Divide 43. yds. 1 gr. 1 na. by 11

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

Ans. 19yds. 2qrs. Sna. + 12. Divide 41 gallons of brandy equally among 144 soldiers.

Ans. Igill a-piece. 13. Bought a dozen of silver spoons, which together weighed 3lb. 2 oz. 13 pwt. 12 grs. how much silver did each spoon contain ?

Ans. Soz. 4pwt. 11gr. 14. Bought 17 cwt. 3 qrs. 19 lb. of sugar, and sold out one third of it; how much remains unsold ?

Ans. 11cut. Sgrs. 22lb.

1

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. lor. Ana.

PRACTICAL QUESTIONS.

1. If 9 yards of cloth cost 4l. 3s. 7fd. what is that per yard?

qr. 9)4 3 7 2

S. d.

9 3 2 Answer.

pound?

C. Il 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

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

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

Ans. 45. 71d. 6. If a reckoning of 51. 8s. 10}d. be paid equally among 13 persons what do they pay a-piece ? Ans. 88. 4d.

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?

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

Ans. 7 d. 10. If a man spends 71l. 14s. 6d. a year what is that per calendar month ?

Ans. £5 19s. 61d. 11. The Prince of Wales' salary is 150,0001. 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 123 in number; how much is each sailor's part?

Ans $24 93cts.

13. Three mercnants, A, B, and C, have a ship m company. A hath , B , and C , and they receive for freight 228l. 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 48. 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 8137, and a sailor's 835 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.

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

EXAMPLES.

1. In 251. 155. 9d. grs how many farthings?

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24758 farthings. Note. In multiplying oy 20, I added in the 155.by 12 the 9d.—and by 4 the 2qrs. which must always be done in like cases. 2. In sil. 11s. 10d. Igr. how many farthings ?

Ans. 30599 3. In 461. 5s. 11d. 3qrs. how many farthings ?

Ans. 44447 4. In 61l. 128. how many shillings, pence and far• things ?

Alls. 1232s. 14784d. 59156grs. 5. In 84.. how many shillings and pence?

Ans. 1680s, 201604. 6. In 18s. Id. how many pence and farthings ?

Ans. 225d. 900grs. 7. In 3121. 8s. 5d. how many half-pence ?

Ans. 149962 8. In 846 dollars at 6s. each, how many farthings?

Ans. 245648 9. In 41 guineas at 28s. each, how many pence ?

Ans. 13776 10. In 59 pistoles, at 22s. how many shillings, pence, and farthings?

Ans. 1298s. 15576d. 62304grs. 11. In 37 half-johannes, at 48s. how many shillings, six-pences, and three-pences ?

Ans. 1776s. 3552 six-pences. 7104 three-pences. 12. In 121 French crowns, at 6s. 8d. each, how many merce and farthings? Ans. 9680d. 35720475,

REDUCTION ASCENDING.

RULE.

Divide the lowest denomination given, by so many of that name as make one of the next higher, and so on through all the denominations, as far as your question requires.

Proor. Multiply inversely by the several divisors.

EXAMPLES.

1. In 224765 farthings, how many pence, shillings and pounds :

Farthings in a penny = 4)224765

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Shillings in a puund 210)46812 7d.

£234 28. 7d. Igr.

Ans, 56191d. 4682s. 2341. Note. The remainder is always of the same name as the dividend. 2. Bring S0329 farthings into pounds ? :

Ans. £51 11s. 10d. 1gr. 3. In 44447 farthings, how many pounds ?

Ans. 446 5s. 11d. Sgrs. 4. In 59136 farthings, how many pence, shillings, and pounds ?

Ans. 14784d. 1232s. £62 128. 5. In 20160 pence, how many shillings and pounds ?

Ans. 1680s. or £81. 6 In 900 farthings, how many pounds ?

Ans. 60 18s. 9d. 7. Bring 74981 half-pence into pounds ?

Ans. £156 4s. 21d. 8. In 243648 farthings, how many dollars at 6s. each?

Ans. $846. 9. Reduce 13776 pence to guineas, at 28s. per guinea.

Ans. 41 10. In 62804 farthings, how many pistoles, at 229. each?

Ans. 69.

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