1. Bought 20 yards of broadcloth for £18 5s. 3d., 30 pounds of feathers for £8 2s. 4d., 100 yards carpeting for

£45 17s. 8d., 10 pieces of cotton cloth for £8 18s. 1d., 50 yards of calico for £2 0s. 10d. What was the cost of the whole? Ans. £83 4s. 2d.

2. Bought four hogsheads of sugar, weighing as follows 1st weighed 8cwt. 1qr. 23lb. 10oz.; 2d weighed 9cwt. 2qr. Olb. 3oz.; 3d weighed 10cwt. Oqr. Olb. 8oz.; 4th weighed 8cwt. 3qr. 271b. How much did the four weigh? Ans. 36cwt. 3qr. 23lb. 5oz. 3. A man owns three farms; the first contains 69 acres, 3 roods, 10 rods; the second contains 100 acres, 5 rods; the third contains 150 acres, 2 roods. How many acres are there in all? Ans. 320A. 1R. 15P.

4. Suppose a note given August 3d, 1838, to be paid November 10th, 1843. How long was the note on interest, if we count 30 days to the month? and how long if the time is accurately computed? 1st Ans. 5yr. 3mo. 7da. 2d Ans. 1925 days.

5. A person buys 15cwt. 3qr. 20lb. of sugar, and sells 10cwt. Oqr. 11lb. How much remains unsold?

Ans. 5cwt. 3qr. 9lb. 6. From a piece of cloth containing 37yd. 3qr. 2n., there has been taken at one time 6yd. 1qr., at another time 10yd. 3qr. 3na. How much then remains? Ans. 20yd. 2qr. 3na.

7. From a pile of wood containing 100 cords, I sold at one time 10C. 100S.ft., at another time I sold 18 C. 59S. ft. How many cords remain unsold? Ans. 70C. 97S. ft.

8. A farmer raises 100bu. 3pk. 2qt. of wheat from one field, 87bu. 1pk. 1qt. 1pt. from another field; he sells 53bu. to one person, and 37bu. 2pk. 1qt. to another person. How many bushels has he remaining? Ans. 97bu. 2pk. 2qt. 1pt.

9. Bought 5 loads of coal. The first weighed 2056 pounds, the second weighed 2250, the third weighed 2240,

the fourth weighed 2310, the fifth weighed 2330. What was the entire weight? And how many tons of 2000 pounds each?

Ans.

.{

11186 pounds.

5.593 tons.

10. A person engages to build 100 rods, and 10 feet of stone fence. At one time he builds 17 rods, 5 feet; at another time he builds 37 rods, 15 feet. How much still remains to be built? Ans. 45 rods, 6 feet.

11. How much cloth in three pieces, measuring as follows: first piece 37 yards, 3 quarters, 1 nail; second piece 41 yards, 11⁄2 Flemish Ells; third piece 43 yards, 11⁄2 English Ells? Ans. 124yds. 3qr. Ina. 12. Bought 3 loads of wood; the first was 8 feet long, 4 feet wide, and 3 feet high; the second was 7 feet long, 4 feet wide, and 2 feet high; the third was 9 feet long, 3 feet wide, and 3 feet high. How many solid feet in the whole? How many cord feet, and how many cords? 233 cubic feet.

MULTIPLICATION OF DENOMINATE NUMBERS.

85. If we wish to multiply £13 5s. 10d. by 5, we proceed as follows:

13 5 10

OPERATION. First, we say 5 times 10d. is 50d., which £ S. d. equals 4s. and 2d.; we set down the 2d. and reserve the 4s. to carry into the next column. We then say 5 times 5s. equals 25s., to which adding the 4s. we have 29s., which

66 9

5

2

equals £1 9s.; we set down the 9s. and reserve the £1 to carry to the next denomination. Finally, we say 5 times £13 is £65, to which adding the £1, we have £66; this being the highest denomination, we set it down entire. Hence this general

RULE.

I. Set the multiplier under the lowest denomination of the multiplicand, and draw a line below it.

II. Multiply the number in the lowest denomination by the multiplier; divide the product by the number expressing how many it takes of such denomination to make one of the next higher. Write the remainder under the number multiplied, and reserve the quotient. Then multiply the number in the next higher denomination by the multiplier, and to the product add the reserved quotient. Divide as before, writing down the remainder, and carrying the quotient.

III. Proceed in like manner to the highest denomination, of which the entire product must be set down.

In Multiplication of Denominate Numbers, where do you set the multiplier? Which denominate value do you first multiply? After finding in the product, the number of units of next higher order and also what remains, where do you place the remainder and what do you do with the units of next superior order? Repeat the

3. In 3 hogsheads of sugar, each containing 10cwt. 3qr. 5lb., how many hundred weight?

Ans. 32cwt. 1qr. 15lb.

4. How much cloth will it take for 7 suits of clothes, if each suit require 7yd. 3qr. 1na.?

Ans. 54yd. 2qr. 3na. 5. How much wood can a horse draw ir 13 loads, if he

draw 1C. 19S. ft. at each load?

Ans. 14C. 119S. ft.

6. How long will it take a man to saw 6 cords of wood, if he employ 7hr. 30m. 45sec. to saw one cord, allowing 10 working hours for each day?

Ans. 4da. 5hr. 4m. 30sec. 7. The circumference of a wheel is 15 feet 2 inches. What distance will this wheel measure on the ground, if it is rolled over 365 times? Ans. 1mi. 255 ft. 10in.

6

8. Allowing the year to consist accurately of 365 days, 5 hours, 48 minutes, 49 seconds, what will be the true length of 1843 years? Ans. 673141da. 10hr. 44m. 281⁄2sec.

When the multiplier is a composite number, we may, as in simple numbers, multiply successively by the component parts.

9. What will 35cwt. of cheese cost, at 15s. 6d. per hundred weight?