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APPLICATION. 1. If 8 equal pieces of cloth contain 260yds. 2qrs. what does each piece contain ? . Ans. 32yds. 2qr. Ina.

2. If 105 E. Eng. will make 12 suits of clothes, what does it take for one suit ? Ans. 8E. E. 3qr. 3na.

LONG MEASURE. Deg. mi. fur. pol. ft. in. bar. Mi.fur. pol. yd. ft. 10)6 31 3 28 14 8 2

1117 5 21 5 1

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

Ans. 31mi. 31 pol. 6ft. 6in. 2. If, in a race, a horse go over a course of 117yds. 4in. . in 12 seconds, how far does he move in one second ?

Ans. Syds. 2ft. 3in. Ibar.

LAND OR SQUARE MEASURE.
Ac. roo. per. yd. ft. in.

Ac. roo. per.
8)15 3 20 8 hy 72

9)39

1 37

.

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

Ans. 14ac. Troo. 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. 5lac. 31per. Sft.

CUBIC OR SOLID MEASURE.
Trou. ft. in. T. hero. ft.

Cord. ft.
5)1 39 845 8)24 49

9)12 124

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. 111lin. 2. In six equal parcels of wood I have 34fcords; what is in each parcel.

Ans. 5cords, 96ft.

Chal. bus. pk. 6)54 35 2

DRY MEASURE.

Bus. pk. gal. qt. pt.
7)9 3 1 2 1

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

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

Ans. Ichal. 8bus. 3pk. i

Wine MEASURE.
Tuns.hhd. gal. qt. Hhd. gal. qt. pt. gill.
11)19 3

17 1 12)1 49 2 1

APPLICATION. 1. In nine equal casks, I have 376gal. 3qt. 1pt. of wine; how much is in one cask ? '

Ans. 41gal. 3qts. 1 pt. 2. I have put into 8 hogsheads 8374gal. of cider, each being filled alike; how much is in each cask ?

Ans. 104gal. 2qts. Ipt. 3gills.

TIME, Yr, m. w. d. h. m. s. 12)4 12 2 5 10 10 10

Yr. d. h. m. 5)4 224 5 40

APPLICATION, If in seven solar years, there be just 2556days, 16b. 41m. 368., what is the length of one solar year ?

Ans. 365days, 5h. 48m. 488.

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

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

d. 6)37 16 0

£.

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2. If 20 gallons of wine cost £7 58. 10d. what is it per gallon ?

Ans. 7s. 31d. 3. Bought 3doz. of silver spoons, which, together, weighed 4 it. 8oz. 12gr.: how much silver did each spoon contain ?

Ans. 3oz. 4dwt. Ilgr. 4. Divide a hhd. of sugar, weight 12cwt. 3qrs. 710 equally among 16 men, 2510. a qr. Ans. 3qrs. 510. 2oz. 5. Divide 43yds. lqr. Ina. of crape among 33 persons.

Ans. lyd. lqr. Ina. 6. If a person travel 17leag. Imi. 4fur. 21 pol. in 21 hours, what was the average distance an hour ?

Ans. 2mi. 4fur. Ipol. 7. Divide 1000 acres of land equally among 99 per

Ans. 10ac. 1635per. 8. Divide 500 cords of bark in equal parts among 108 persons. Ans. Acor. 800 ft. or 4cor. 52ųft. bark meas.

9. Divide 168bus. 1pk. Igal. 2qts. of corn equally among 35 persons.

Ans. 4bus. 3pk. 2qt. 10. Divide 4įgal. of wine equally among 144 soldiers.

Ans. Igill each.

sons.

.

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

EXAMPLES.
1. Divide £391 178. 6 d. equally among 46 men.

d. £ d.
46)391 17 678 10 44 Ans.

368

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23
20

46)477(10s.

46

17 12

46)210(4d.

184

26
4

46) 105(2qrs.

92

13 2. If 203 bushels of wheat cost 86 11s. 5d. what is it per bushel !

d. 263)86 11

11 5(£0 6s. 7d. Ans. 20

s.

263)1731(68. &c. 3. Divide 27tons, 13cwt. 2qrs. of iron equally among

34 men,

25lb. a qr.

T. cwt. qr. T. cut. gr. th.
34)27 13200 16 i 2 and 32 rem. or 14

20

34)553(16cwt. &c. Ans. 16cwt. lqr. Alb. 4. If 461b. of indigo cost £53 10s. 6d., what is it per pound!

Ans. £1 3s. 31d. +

11

5. If 263 bushels of wheat cost $287, 97cts. 3mills, what is it

per
bushel ?

Ans. $1, 9cts. 4mills. + 6. If 37 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. Imo. 2d. 10h. 1248 m. 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 cf; 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

C's £28 12s. 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?

Ans. { A'As. 2d.

{

Ans. (Captain's share $753,50cis.; a lieut's $342,50cts.;

.

; and a sailor's 35,881 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 serenteenth 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 judgment, which goes for their estimate, decision, 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

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