EXAMPLES OF

WEIGHTS, MEASURES, &c,

1. Divide 14 cwt. 1 qr. 8 lb. of sugar equally among

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

Ans. 1T. 12 cut. 3ors. 25lb. 120zy

3. 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

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

5. Divide 56 lb. 6 oz. parts. 6. Divide 26 lb. 1 oz. 5 pwt. by 24

Ans. 1lb. 1oz. 1pwt. 1gF.

7. Divide 9 hhds. 28 gals. 2 qts. by 12

Ans. Ohhd. 49gals. 2qts. 1pt.

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

Ans. 4bu. 3 pks. 2gts

9. Divide 17 lea. 1 m. 4 fur. 21 po. by 21

Ans. 2m. 4fur. 1po.

10. Divide 43 yds. 1 qr. 1 na. by 11

Ans. 3yds. 3qrs. 3na:

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

soldiers.

Ans. 19yds. 2qrs. 3na.+ 12. Divide 4 gallons of brandy equally among 144 Ans. 1gill a piece 13. Bought a dozen of silver spoons, which together, weighed 3 lb. 2 oz. 13 pwt. 12 grs. how much silver did ach spoon contain ? Ans. 3oz. 4 put. 11gr. 14. Bought 17 cwt. 3 qrs. 19 lb. of sugar, and sold out The third of it; how much remains unsold?

F

15. From a piece of cloth containing 64 yards 2 na a

tailor was ordered to make 9 one third of the whole piece; coat contain ?

soldiers' coats, which took how many yards did each Ans. 2yds. 1qr. 2 na.

PRACTICAL QUESTIONS.

1. If 9 yards of cloth cost 47. 38. 71d. what is that per yard?

£. s. d. qr.

9)4 3 7 2

9 3 2 Answer.

2. If 11 tuns of hay cost 231. Os.

tun ?

3. If 12 gallons of brandy cost 47. per gallon?

2d. what is that per Ans. £2 1s. 10d. 15s. 6d. what is that Ans. 7s. 11d. 2qrs,

4. If 84 lbs. of cheese cost 17. 16s. 9d. what is that per pound?

5. Bought 48 pairs of stockings for 117. pair do they stand me in ?

Ans. 51d.

28. how much a Ans. 4s. 74d.

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 187 68. what did it cost per yard?

Ans. 15s. 3d. 8. If a hogshead of wine cost 331. 12s. what is it a gal'on ? 9. If 1 cwt. of sugar cost 37. 10. what is it per pound?

Ans. $10s. 8d.

Ans. 74d. 10. If a man spend 717. 14s. 6d. a year what is that per calendar month ? Ans. £5 19s. 61d. 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 99cta.

13. Three merchants A, B, and C, have a ship in Lompany. A hath, B, 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 0s. 5d. C's share £28 12s. 1d.

B's share £57 4s. 2d.

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, a shillings into pounds, hours into days, &c. This is erformed 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 25l. 158. 9d. 2qrs. how many farthings?

5. Divide 97 dols. 48 cts. by 85.
6. Divide 248 dols. 54 cts. by 125.

Ans. $1 14cts. 6m.

Ans. 198cts. Sm.=$1 98cts. 8m."
Ans. 9cts. 9m

7. Divide 24 dols. 65 cts. by 248. 8. Divide 10 dols. or 1000 cts. by 25. 9. Divide 125 dols. by 500. 10. Divide 1 dollar into 33 equal parts.

PRACTICAL QUESTIONS.

Ans. 40cts.

Ans. 25cts.

Ans. 3cts.+

1. Bought 25 lb. of coffee for 5 dollars; what is tnat a pound? Ans. 20cts. 2. If 131 yards of Irish linen cost 49 dols. 78 cts. what is that per yard ? Ans. 38cts.

3. If a cwt. of sugar cost 8 dols. 96 cts. what is that per pound?

Ans. Scts. 4. If 140 reams of paper cost 329 dols. what is that per ream?

5. If a reckoning of 25 dols. 41 among 14 persons, what do they pay

6. If a man's wages are 235 dols. is that a calendar month?

7. The salary of the President of twenty-five thousand dollars a year;

Ans, $2 35cts. cts. be paid equally a piece?

Ans. $1814cts. 80 cts. a year, what Ans. $19 65cts. the United States, is what is that a day? Ans.$68 49 cts.

2. To divide the denominations of Sterling Money, Weights, Measures, &c.

RULE.

Begin with the highest denomination as in simple division; and if any thing remains, find how many of the next lower denomination this remainder is equal to ; which add to the next denomination: then divide again, carrying the remainder, if any, as before; and so on till the whole is finished.

PROOF-The same as in simple Division,

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

or more numbers in the table multiplied together.

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