Daboll's Schoolmaster's Assistant

EXAMPLES OF

WEIGHTS, MEASURES, &c.

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

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

Ans. 1T. 12cwt. 3qrs. 25lb. 12oz.

3. Divide 14 cwt. 1 qr. 12 lb. by 5

Ans. 2cwt. 3grs. 13lb. 9oz. 9dr.+

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

5. Divide 56 lb. 6 oz. parts.

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.+ 5 pwt. by 24

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

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

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

10. Divide 43. yds. 1 qr. 1

11. Divide 97 E. E. 4 qrs. 1

soldiers.

Ans. 4bu. Spks. 2qts.
21 po. by 21
Ans. 2m. 4fur. 1po.

na. by 11

Ans. Syds. 3ars. Sna. na. by 5

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 3lb. 2 oz. 13 pwt. 12 grs. how much silver did each spoon contain ? 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?

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. 1ar. 2ua.

PRACTICAL QUESTIONS.

1. If 9 yards of cloth cost 41. Ss, 7d. 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 4l. 15s. 6d. what is that per gallon? Ans. 7s. 11d. 2qrs. 4. If 84 lbs. of cheese cost 11. 16s, 9d. what is that pound?

per Ans. 54d. 5. Bought 48 pairs of stockings for 1il. 2s. how much a pair do they stand me in ? Ans. 4s. 7d. 6. If a reckoning of 5l. 8s. 101d. be paid equally among 13 persons what do they pay a-piece? Ans. 8s. 44d. 7. A piece of cloth containing 24 yards, cost 187. 6s. what did it cost per yard? Ans. 15s. 3d.

8. If a hogshead of wine cost 331. 12s. what is it a gallon? Ans. 10s. 8d. 9. If 1 cwt. of sugar cost 3l. 10s. what is it per pound? Ans. 7d. 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 150,000l. a year, what is that a day? Aps. £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 93ets.

13. Three mercnants, 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. 2u. C's share £28 12s. 1d.

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 naines 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 25l. 15s. 9d. 2qrs. how many farthings?

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 Ans. 2yds. 1ar. 2na.

each coat contain ?

PRACTICAL QUESTIONS.

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

s. d. qr.

S7 2

9 3 2 Answer.

Ans. £2 1s. 10d.

2. If 11 tons of hay cost 23l. Os. 2d. what is that per ton ? 3. If 12 gallons of brandy cost 4l. 15s. 6d. what is that per gallon? Ans. 7s. 11d. 2qrs. 4. If 84 lbs. of cheese cost 11. 16s, 9d. what is that per pound? Ans. 54d. 5. Bought 48 pairs of stockings for 1il. 2s. how much a pair do they stand me in? Ans. 4s. 7şd. 6. If a reckoning of 5l. 8s. 10d. be paid equally among 13 persons what do they pay a-piece? Ans. 8s. 43d. 7. A piece of cloth containing 24 yards, cost 187. 6s. what did it cost per yard ? Ans. 15s. Sd.

8. If a hogshead of wine cost 33l. 12s. what is it a gallon ? Ans. 10s. 8d. 9. If 1 cwt, of sugar cost Sl. 10s. what is it per pound? Ans. 7d. 10. If a man spends 71l. 14s. 6d. a year what is that per calendar month ? Ans. £5 19s. 619. 11. The Prince of Wales' salary is 150,000l. a year, what is that a day? Aps. £410 19s. 2d.

13. Three mercnants, A, B, and C, have a ship in company. 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. B's share £57 4s. Qu. C's share £28 12s. 1d.