2. What is the value of 56 pounds of butter at ls. 10d. per pound?

S. d.

1. 10 price of 1 pound.
7

13. 1 price of 7 pounds.
8

£5. 5. 0 price of 56 pounds.

3. Bought 74 yards of cloth, at £1. 17s. 4d. per yard, what did it amount to?

£

s. d.

£138. 2. 8 price of 74 yards.

4. Bought 4 yards of cloth, at 14s. 6d. per yard, what does it amount to?

Ans. £2. 18s.

5. If a man earn £12. 9s. 6d. in one month, how much will he earn in 8 months?

Ans. £99. 16s.

6. What cost 12 gallons of brandy, at 14s. 74d. per gallon? Ans. £8. 15s. 9d. 7. If one-fourth of a barrel of flour cost 17s. 4 d., how much is that a barrel? Ans. £3. 9s. 6d. 8. If an English guinea weigh 5 dwts. and 6 grains, what does 12 guineas weigh? Ans. 3 oz. 3 dwts. 9. It there are 6 lots, each containing 7 acres, 3 roods, and 38 poles, how much does the whole contain?

Ans. 47 acres, 3 roods, 28 poles. 10. How far will the man walk who travels over the space of 5 miles, 7 furlongs and 26 poles, 4 times?

Ans. 23 miles, 6 fur. 24 poles.

11. Multiply 4 years 11 mo. 2 weeks and 5 days by 7. Ans. 34 years, 9 mo. 3 weeks.

will he earn in a year?

12. Bought 14 yards of linen, at 6s. 44d. per yard; how much does it amount to? Ans. £4. 9s. 3d. 13. If a man earn £3. 4s. 8d. in one week, how much Ans. £168. 2s. 8d. 14. What is the weight of 13 hogsheads of tobacco, each weighing 9 cwt. 1 qr. 27 lbs. ? Ans. 123 cwt. 1 qr. 15 ĺbs. 15. How many yards of cloth are there in 33 pieces, each piece containing 22 yds. 3 qrs. 3 nails?

Ans. 756 yds. 3 qrs. 3 nails. 16. How many bushels will 40 barrels contain, when each barrel holds 2 bushels, one peck, and 6 quarts? Ans. 97 bushels

pecks. 17. At 12s. 6d. per gallon, what will 126 gallons of wine cost? Ans. £78. 17s. 7 d. 18. If a man spend £1. 12s. 8d. per day, how much is that a year? Ans. £596. 3s. 4d.

COMPOUND

DIVISION.

Q. What does Compound Division teach?

A. It teaches the method of finding how often a smaller number is contained in a greater of several denominations.

Q. How do you work?

A. I place the divisor at the right hand of the dividend, and divide the number of the highest denomination, and set the quotient under it.

Q. If there be a remainder what do you do?

A. I multiply it by as many of the next lower denomination as will make one of that, adding in the number of the next denomination, and divide as before, and so on till the lowest denomination.

Q. When the divisor exceeds 12, and is the product of any two figures in the multiplication table, how do you work?

A. I divide the given sum by either of the numbers, and the quotient by the other number, the last quotient will be the answer.

Q. When a remainder occurs in the last division, how you find the true remainder?

A. I multiply the last remainder by the first divisor, and add in the first remainder for the true remainder.

Q. When the divisor exceeds 12, and is not the product of any two numbers in the multiplication table, how do you work?

A. I perform the work at length, placing the quotient at the right hand of the dividend.

EXAMPLES.

1. If 9 pair of boots cost £20. Os. 6d., what cost one pair?

£ S. d.

Divisor 9) 20. 0. 6 (Dividend.

Quotient £2. 4. 6 Ans.

2. If a firkin of butter weighing 56 pounds, cost £5. 5s., what is that a pound?

£ s. d.

8) 5. 5. 0

7) 0. 13. 1

£0. 1. 10

3. What is the value of a yard of cloth when 74 yards

cost £138. 2s. 8d.?

£ S. d. £ S. d.

74) 138. 2. 8 (1. 17. 4 quotient.
74

64 pounds remaining,

Multiply by 20 and add in the 28.

74) 1282s. (17 shillings,

74

542

518

24 shillings remaining

Multiply by 12 and add in the 8 pence,

4. If 4 yards of cloth cost £2. 18s., what cost 1 yard? Ans. 14s. 6d. 5. What cost 1 pair of stockings when the price of 10 pair is £1. 7s. 1d.? Ans. 3s. 8d.

6. If a man earn £99. 16s. in 8 months, how much is that a month? Ans. £12, 9s. 6d. 7. If 12 gallons of brandy cost £8. 15s. 9d., how much is that a gallon? Ans. 14s. 74d.

8. If a barrel of flour be worth £3. 9s. 6d., how much is one-fourth of a barrel worth? Ans. 17s. 4 d. 9. If a field containing 47 acres, 3 roods, 28 poles, be divided into 6 equal shares, how much land will each share contain? Ans. 7 acres, 3 roods, 38 poles.

10. If a man walk 45 miles in 12 hours, how far is that an hour? Ans. 3 miles, 6 furlongs. 11. If a quantity of goods, weighing 25 cwt. 3 qrs. 12 lbs., are to be carried in 4 wagons, how much should go in each? Ans. 6 cwt. 1 qr. 24 lbs. 12. If 14 yards of linen cost £4. 9s. 3d., how much is that a yard? Ans. 6s. 44d. 13. If a man earn £168. 2s. 8d. in a year, how much is that per week? Ans. £3. 4s. 8d. 14. If a man have 640 bushels of apples which he puts in 256 barrels, how much does each barrel contain? Ans. 2 bus. 2 pecks.

15. If a pipe of wine cost £79. 2s. 10d., how much is that a gallon?

Ans. 12s. 6d.

16. If a man spend £596. 18s. 6d. in a year, how much is that per day?

Ans. £1. 12s. 84d.

REDUCTION.

Q. What does Reduction teach?

A. It teaches the method of changing any quantity from one denomination to another, retaining the same value as before reduced.

How many kinds of Reduction are there?

Two; Reduction Ascending, and Reduction Descending.

REDUCTION DESCENDING.

Q. What does Reduction Descending teach? A. It teaches the method of bringing numbers from higher to lower denominations, as shillings into pence, feet into inches, &c.

Q. How do you work?

A. I multiply the number of the highest denomination by as many times as it contains one of the next lower, and add in the number of the next lower denomination, if there be any, and so on until it is reduced to the denomination required.

EXAMPLES.

1. In £27. 8s. 31d. how many farthings?

£27 8s.
20

3jd.

548 shillings.

12

6579 pence.
4

26,319 farthings.

2. In £75. how many pence?

Ans. 18000.

3. In £22. 14s. how many pence? Ans. 5448. 4. In £49. 12s. 6d. how many farthings?

Ans. 47642.

5. In £88. how many shillings, pence, and farthings? Ans. 1760s. 21120d. 84480 qrs.

Ans. 42240 feet.

6. How many feet in 8 miles?
7. In 43 bushels, 3 pecks, how many quarts?

Ans. 1400.

8. How many gills in a pipe of wine? Ans. 4032. 9. In á lbs. 6 oz. Troy weight, how many grains? Ans. 31680.

10. In 1 lb. 11 oz. 5 drams, how many scruples?

Ans. 567. 11. In 21 weeks, how many seconds? Ans. 12700800. 12. In 43 yards, 3 qrs. 2 nails, how many nails?

Ans. 702.