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

MULTIPLICATION OF DUODECIMALS.
CASE 1.

When the feet of the multiplier 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 cipher; 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. *** It may 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.

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

Ft. I.

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

2. If a board be 23ft. 3in. long, and 3ft. 6in. wide, how many square feet does it contain?

Ans. 81ft. 4in. 6".

3. A certain partition is 82ft. 6in. by 13ft. 3in. how many square feet does it contain? Ans. 1093ft. lin. 6". 4. If a floor be 79ft. 8in. by 38ft. 11in. how many square feet are therein? Ans. 3100ft. 4in. 4".

Note. -Divide the square feet by 9, and the quotient will be square yards.

5. If a ceiling be 59ft. 9in. long, and 24ft. 6in. broad, how many square yards does it contain?

Ans. 162yd. 5ft. + 6. What will the plaistering of a ceiling come to, at 10d. per yard, supposing the length 21ft. Sin. and the breadth 14ft. 10in.? Ans. 1L. 9s. 9d.

7. What will the paving of a court-yard come to, at 44d. 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".

Ft. I.

76

33

Ft. I.

76x3in.= 1 10 6

76x3ft. =22 6

24 4 6

1 10

Ft. L."

24 4 6x10in.=20 390

24 4 6x 1ft.=24 46

Ans. 44 83

9. What is the freight of a bale containing 65 feet 9

inches, at 15 dollars per ton of 40 feet?

Ans. 24dols. 65 cts.

10. A merchant imports from London 6 bales of the

following dimensions, viz.

Length.

Height.

Depth.

Ft. I.

Ft. I.

Fi. I.

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? A will be 26 when B is 47. will be 81 when A is 60.

Ans.

4. If 79L. 4s. 10d. 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.

Ans.

}

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

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

5. How many bushels of wheat, at $1.12 per bushel, can I have for $81.76? 6. What will 27cwt. of iron come to, at $4.56 per Ans. $123.12.

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 two sons thus, -to his wife, to his elder son of the remainder, and to his other son the rest; what is the share of each? Wife's share $2440.87. Ans. Elder son's $2440.87. Other son's $1627.25.

2

9. How many yards of cloth, at 17s. 6d. per yard, ean I have for 13cwt. 2qrs. of wool, at 14d. per lb.? Ans. 100 yards, 34qrs. 10. How many dollars are equal to 980 French crowns? Ans. 1078. 11. If goods which cost 10s. be sold for 11s. 9d. what is the gain per cent.? Ans. 17. 12. Bought 27 bags of ginger, each weighing gross 844lb. tare 14lb. per bag, tret 4lb. per 1041b.; what does the whole (neat weight) come to, at 81⁄2d. per lb.? Ans. 76L. 13s. 24d.

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

Ans. 17L. 10s. 51⁄2d.

14. If of an ounce cost of a shilling, what will of a lb. cost? Ans. 17s. 6d. 15. If of a gallon cost of a L. what will & of a tun cost? Ans. 105L. 16. If of a ship be worth 3740L. what is the worth of the whole? Ans. 9973L. 6s. 8d.

17. A person who was possessed of of a vessel, sold f of his share for 375L. what was the whole vessel worth at that rate? Ans. 1500L.

18. If 4 cwt. be carried 36 miles for 35s. how many pounds can I have carried 20 miles for the same money? Ans. 9071b. 3oz. 3dr.. 19. What is the interest of 47L. 10s. for 4 years and 52 days, at 4 per cent.? Ans. 8L 17s. Id.

20. If 100L. in 5 years gain 20L. 10s. in what time will any sum of money double itself at the same rate of interest? Ans. 2419 years. 21. What sum will produce as much interest in 34 years, as 210L. 3s. would in 5 years and 5 months? Ans. 350L. 5s.