APPLICATION.

1. If 8 equal pieces of cloth contain 260yds. 2qrs. what does each piece contain ?

2. If 105 E.Eng. will make 12 suits of clothes, what does it take for one suit?

Ans. 32yds. 2qr. Ina.

Ans. 8E.E. 3qr. 3na.

1. If a man travel 217miles, 5fur. 19pol. 12ft. 6in. in 7 days; how far does he go a day?

Ans 31mi. 31pol. 6ft. 6in. 2. If, in a race, a horse go over a course of 1 17yds. 4in. in 12 seconds, how far does he move in one second ? Ans. 9yds. 2ft. 3in. 1 bar.

1. If nine fields of equal extent, contain 129ac. 2roo. 25per., what does one of them measure?

Ans. 14ac. 1roo 25per. 2. If a man divide his farm of 358ac. 1roo. 17per. 6yd. 2ft. in equal portions between seven sons, what does each have ? Ans. 51ac. 31per. 8ft.

APPLICATION.

1. Bought 18tons, 23ft. 371in. of round timber, which was in five boats, and each contained a like quantity; how much did one boat contain ?

Ans. 3tons, 28ft. 1111in.

2. In six equal parcels of wood I have 341cords; what Ans. 5cords, 96ft.

is in each parcel?

1. If in nine equal loads of corn there be 192bus. 3pk. 1qt. 1pt., what is there in one load?

Ans. 21bus. 1pk. 1gal. 1qt. 1pt. 2. Six wagons equally loaded drew to market 7chal. 16bus. 2pk. of coals; how much did one bring?

Ans. 1chal. 8bus. 3pk.

1. In nine equal casks, I have 376gal. 3qts. 1pt. of brandy; how much is in one cask?

Ans. 41 gal. 3qts. 1pt. 2. I have put into 8 rum hogsheads 8373gal. of cider, each being filled alike; how much is in each cask?

Ans. 104gal. 2qts. 1pt. 3gills.

TIME.

Yr. m. w. d. h. m. S. 12)4 12 2 5 10 10 10

Fr. d. h. m.

5)4 224 5 40

APPLICATION.

If in seven solar years, there be just 2556days, 16h. 41m. 36s., what is the length of one solar year?

Ans. 365days, 5h. 48m. 48s.

CASE II.-If the divisor exceed 12, divide continually by its component parts, as in Simple Division, CASE III.

EXAMPLES.

1. Divide £37 16s, equally among 24 men.

contain?

L. S. d. 6)37 16 0

4)6 6 0

£1 11 6 Ans.

2. If 20 gallons of brandy cost £7 5s. 10d., what is it per gallon? Ans. 7s. 3 d. 3. Bought 3doz. of silver spoons, which, together, weighed 9ft. 8oz. 12gr.; how much silver did each spoon Ans. 3oz. 4dwt. 11gr. 4. Divide a hhd. of sugar, weight 12cwt. 3qrs. 71b. equally among 16 men, 2515. a qr. Ans. 3qrs. 5. 2oz. 5. Divide 43yds. 1qr. Ina. of crape among 33 persons. Ans. lyd. 1qr. Ina. 6. If a person travel 17leag. Imi. 4fur. 21pol. in 21 hours, what was the average distance an hour? Ans. 2mi. 4fur. 1pol.

sons.

7. Divide 1000 acres of land equally among 99 perAns. 10ac. 1616per. 8. Divide 500 cords of bark in equal parts among 108 persons. Ans. 4cor. 8064ft. or 4cor. 5ft. bark meas. 9. Divide 168bus. 1pk. 1gal. 2qts. of corn equally among 35 persons. Ans. 4bus. 3pk. 2qt.

10. Divide 41gal. of brandy equally among 144 soldiers. Ans. 1gill each.

CASE III.-If the divisor be not a composite number, divide as in long division.

EXAMPLES.

1. Divide £391 17s. 6d. equally among 46 men. £. S. d. £. S. d.

46)391 17 64(8. 10 4 Ans.

368

28

20

46)477(10s.

46

17

12

46)210(4d.
184

26

4

46)105(2qrs.

92

13

2. If 263 bushels of wheat cost £86 11s. 5d. what is

3. Divide 27tons, 13cwt. 2qrs. of iron equally among 34 men, 25lb. a qr.

T. cwt. gr. T. cwt. gr. fb.

34)27 13 2(0 16 1 2 and 32 rem. or 32. 20

34)553(16cwt. &c. Ans. 16cwt. 1qr. 2lb.

4. If 46lb. of indigo cost £53

pound ?

10s. 6d., what is it per

Ans. £1 3s. 3‡d.+

5. If 263 bushels of wheat cost $287,97cts. 3mills, Ans. $1,9cts. 4mills.+

what is it per bushel ?

6. If 87 thousand of boards come to $203,50cts., what is one thousand worth? Ans. $5,50cts. 7. Divide 120 months, 2w. 3d. 5h. 20m. by 111. Ans. 1mo. 2d. 10h. 125m.

8. A privateer takes a prize worth $12465, 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. $24,93cts.

9. Three merchants, A, B, and C, have a ship in company; A has, B, and C ; they have received for freight £228 16s. 8d.; it is required to divide it among the owners, according to their respective shares: pray, can you do it? A's share £143 5d. B's £57

{

Ans. 1s. 2d. C's £28 128. 1d.

10. A privateer having taken a prize worth $6850, it is divided into one hundred shares; the captain takes 11; 2 lieutenants, each 5; 12 midshipmen, each 2; and the remainder is to be equally divided among the sailors, who are 105 in number;-pray, can you settle the matter?

Captain's share $753,50cts. ; a lieut's $342,50cts.; Ans. a midshipman's $137; and a sailor's $35,881 cts. 11. Divide the sum of 50 eagles, 50 dollars, 50 dimes, 50 cents, and 60 mills among 17 men; and give the first 12 cents more than the second, the second 12 cents more than the third, and so on to the last ;-what will the seventeenth man's share be? Ans. $31,72cts.

NOTE. It is customary among appraisers of property, arbitrators or referees, and, in some cases, the method is resorted to even by juries, where they cannot agree in their estimates and verdicts, to take the amount of the sums which they severally agree to award, and divide that amount by the number of which they consist; the quotient is their average judgement, which goes for their estimate, decison, or verdict.

EXAMPLES.

1. In appraising a certain property, A called the value $100, B, $140, C, $80, and D, $150; but as they could