5. Bought a raft of boards containing 59621 ft. 8 in., of which are since sold three parcels, each 14905 ft. 5in., how many feet remain ? Ans. 14905 ft. 5 in.

MULTIPLICATION OF DUODECIMALS.

CASE 1.

When the feet of the n.ultiplier do not exceed 12.

RULE.

Set the feet of the multiplier under the lowest denomination of the multiplicand, as in the following example; then multiply as in Compound Multiplication by each denomination of the multiplier separately, observing to place the right hand figure, or number, of each product, under that denomination of the multiplier by which it is produced.

Note 1.-If there are no feet in the multiplier, supply their place with a cypher; and in like manner supply the place of any other denomination between the highest and lowest.

2. Feet multiplied by feet, give feet.

Feet multiplied by inches, give inches. Feet multiplied by seconds, give seconds. Inches multiplied by inches, give seconds. Inches multiplied by seconds, give thirds. Seconds multiplied by seconds, give fourths. be remarked that though the feet obtained by this rule are square feet, the inches are not square inches, but twelfth parts of a square foot.

*

It

may

CASE 2.

When the feet of the multiplier exceed 12.

RULE.

Multiply by the feet of the multiplier as in Compound Multiplication, and take parts for the inches, &c.

EXAMPLES.

1 Multiply 112 ft. 3 in. 5" by 42 ft. 4 in. 6".

1. A certain board is 28 ft. 10 in. 6" long, and 3 ft 2 in. 4′′ wide; how many square feet does it contain? Ans. 92 ft. 2 in. 10" 6". 2. If a board be 23 ft. 3 in. long, and 3 ft. 6 in. wide, how many square feet does it contain?

Ans. 81 ft. 4 in. 6". 3. A certain partition is 82 ft. 6 in. by 13ft. 3 in., how many square feet does it contain? Ans. 1093 ft. 1 in. 6". 4. If a floor be 79 ft. 8 in. by 38 ft. 11 in., how many square feet are therein ? Ans. 3100 ft. 4 in. 4". Note.-Divide the square feet by 9, and the quotient will be square yards.

5. If a ceiling be 59 ft. 9 in. long, and 24 ft. 6 in. broad, how many square yards does it contain? Ans. 162 yd. 5 ft.+ 6. What will the plastering of a reiling come to, at 10d. per yard, supposing the length 21 ft. 8 in., and the breadth 14 ft. 10 in.?

Ans. 1 L. 9 s. 9 d.

7. What will the paving of a court-yard come to, at 4 d. per yard, the length being 58 feet 6 inches, and the breadth 54 feet 9 inches? Ans. 7L. Os. 10d. 8. Suppose the dimensions of a bale to be 7 feet 6 inches, 3 feet 3 inches, and 1 foot 10 inches; what is the solid content? Ans. 44ft. 8in. 3'

9. What is the freight of a bale containing 65 feet 9 inches, at 15 dollars per ton of 40 feet?

Ans. 24 dols. 65 cts.

10. A merchant imports from London 6 bales of the following dimensions, viz.

What are the solid contents, and how much will the freight amount to at 20 dollars per ton?

The contents are, viz.

PROMISCUOUS QUESTIONS.

1. A merchant had 1000 dollars in bank; he drew out at one time $237.50, at another time $116.09, and at another $241.06; after which he deposited at one time 1500 dollars, and at another time $750.50; how much had he in bank after making the last deposite? Ans. $2655.84.

2. Sold 8 bales of linen, 4 of which contained 9 pieces each, and in each piece was 35 yards; the other 4 bales contained 12 pieces each, and in each piece was 27 yards: how many pieces and how many yards were in all ? Ans. 84 pieces, 2556 yards. 3. A was born when B was 21 years of age, how old will A be when B is 47; and what will be the age of B when A is 60? Ans. {B will be 81 when A is 60. SA will be 26 when B is 47. 4. If 79 L. 4 s. 10 d. be divided among 4 men, 6 women, and 9 boys, so as that each man shall receive twice as much as a woman, and each woman twice as much as a boy, what will be the share of each.

Each boy must have 2 L. 2 s. 10 d. Ans. Each woman

Each man

4 L. 5 s. 8 d. 8 L. 11 s. 4 d.

5. How many bushels of wheat, at $1.12 per bushel,

can I have for $81.76?

Ans. 73. 6. What will 27 cwt. of iron come to, at $4.56 peri Ans. $123 12.

cwt.?

7. When a man's yearly income is 949 dollars, how much is it per day? Ans. $2.60. 8. If a man leave 6509 dollars to his wife and wo sons thus, to his wife 3, to his elder son of the remainder, and to his other son the rest; what is the share of cach? Wife's share $2440.874. Elder son's $2440.871. Other son's $1627.25.

Ans.

9. How many yards of cloth, at 17 s. 6 d. per yard, can I have for 13 cwt. 2 qrs. of wool, at 14d. per lb.? Ans. 100 yards, 31 qrs.

10. How many dollars are equal to 980 French crowns? Ans. 1078. 11. If goods which cost 10 s. be sold for 11s. 9 d. what is the gain per cent.? Ans. 171.

12. Bought 27 bags of ginger, each weighing gross S43 lb. tare 13 lb. per bag, tret 4 lb. per 104 lb.; what does the whole (neat weight) come to, at 8 d. per lb.? Ans. 76 L. 13 s. 24 d.

13. My factor sends me word he has bought goods to the value of 500 L. 13 s. 6 d. upon my account; what will his commission come to at 3 per cent.?

Ans. 17L. 10s. 5 d. 14. If of an ounce cost of a shilling, what will of a lb. cost? Ans. 17 s. 6 d. 15. If of a gallon cost of a L., what will & of a tun cost?

Ans. 105 L. 16. If of a ship be worth 3740 L., what is the worth of the whole? Ans. 9973 L. 6 s. 8 d. 17. A person who was possessed of of a vessel, sold of his share for 375 L., what was the whole vessel worth at that rate? Ans. 1500 L. 18. If 4 cwt. be carried 36 miles for 35s., how pounds can I have carried 20 miles for the same moAns. 907 lb. 3 oz. 3 dr.

Ley?

19. What is the interest of 47 L. 52 days, at 4 per cent.?

many

10s. for 4 years and Ans. 8 L. 17 s. 1 d

20. If 100 L. in 5 years gain 20 L. 10s., in what time will any sum of money double itself at the same rate of interest? Ans. 241 years.

21. What sum will produce as much interest in 34 years, as 210L. 3s. would in 5 years and 5 months? Ans. 350 L. 58.