7. If 2 horses eat 8 bushels of oats in 16 days, how many horses will eat 40 bushels in 8 days? Ans. 20 horses. 8. If 8 men in 14 days build 2000 pannels of fence, how many men must there be to build 1500 pannels in 4 days? Ans. 21. 9. In a family, consisting of 7 persons, there are used 2 cwt. of flour in 3 weeks, how much will suffice a family of 14 persons, 8 days? Ans. 1 cwt. 2 qr. 2 lbs. 10. When 12 oxen graze down 164 acres in 20 days, how much of like pasture would suffice 24 such cattle for 100 days? Ans. 162 acres. 11. If 12 persons receive 4.625 dollars for 1 day's labor, how much should 4 persons have for 10 days' work? Ans. 16.1875 dolls. 12. What money, at 3 per cent. per annum, will clear 77 dollars in 1 year and 3 months? Ans. 1760 dolls.

PRACTICE.

PRACTICE is a short method of finding the value of any quantity of goods, at a given price, per yard, pound, dozen, &c. All questions in this rule are performed by taking aliquot, or even parts, by which means many tedious reductions are avoided the tables of which are as follows:

RULE.

Multiply the price by the integers of the quantity, and take parts of the price for the rest.

Examples.

1. 53 pounds, 10 ounces, 16 pennyweights, 13 grains, at $5.76 cts. per pound.

In this question I say, 6 ounces are of a pound, and 4 ounces are of a pound; for both of which, parts are to be taken of $5.76 cents, because they are both parts of a pound, and $5.76 cts. is the price of a pound. Then I say, 10 pennyweights are of 4 ounces: this part must be taken into 192, the value of 4 ounces. I then say, 5 pennyweights are of 10 pennyweights: this part must be taken into 24, the value of 10 pennyweights. I then say, 1 pennyweight is of 5 pennyweights: this part must be taken into 12, the value of 5 pennyweights. I then say, 12 grains are a pennyweight: this must be taken into 24, the value of 1 pennyweight. Then I say, 1 grain is of 12 grains: I take this into 12 grains. Add the product of the integer to the quotients produced by the parts, and the sum, 310 dollars, 47 cents, 7 mills, is the

answer.

2. 16 lb. 5 oz. 16 dwts. 4 grs. at 29 cts. per pound.

3. 5 lb. 2 oz. 11 dwts. 17 grs. at 41 cts. 4. 2 lb. 1 oz. 12 dwts. 12 grs. at 64 cts.

66

$cts. m. Ans. 4.78 +

2.13.8+ 1.36.6+

5. 17 lb. 2 oz. 19 dwts. 16 grs. at 59 cents $cts.m. per lb. Ans. 10.17.6.+ 6. 34 lb. 1 oz. 11 dwts. 5 grs. at $1.16 per lb. 39.59.+ 7. 5 C. 3 qrs. 6 lb. at 12 dollars, per ton. 8. 7 C. 1 qr. 10 lb. at $4.80 cts. per. C. 9. 16 C. 1 qr. 15 lb. at $4.12 cts. per C. 10. 1 A. 2 R. 12 P. at $25.60 cts. per acre.

3.48.6.

35.28.

67.65.

40.32.

11. 5 Yds. 1 qr. 2 nas. 2 in. at $6.84 cts. per yard. 37.141 12. 4 Bu. 2 P. 7 qts. at $1.28 cts. per bushel. 6.04 13. Bought 19 C. 3 qrs. 24 lbs. of iron, at 99 dolls. 99 cts. per ton: required the amount. 14. If a yard of cloth cost $4.91 69 yds. 2 qrs. 2 nails?

Ans. 99 dolls. 94 cts. cts., what is the value of Ans. 341.85875 dolls.

15. What is the value of 12 Bu. 2 P. 1 qt. of oats, at 39% cents per bushel ? Ans. $4.95 cts. nearly. 16. If land be rated at 42 dollars per acre, what is the value of a plantation containing 243 A. 3 R. 10 P.?

Ans. $10240.12 cts. 17. If corn sell for 52 cents per bushel, what must I pay for 16 bushels, 3 quarts? Ans. 8.36875 dolls.

QUESTIONS FOR EXERCISE

In the preceding Rules.

1. Five auditors, in a public office, receive 70 dollars a quarter, for which they attend 7 times during that period; but if one or more be absent at any time, then the absent persons' shares are divided among those who attend. A. and

B. never miss attendance on these occasions; but C. and D. are absent four times, viz: the first, third, fifth and seventh days of meeting. E. is absent three times, viz: the second, fourth and sixth days. When payment becomes due, I wish to know what each is to receive.

Ds. ds. $ S

As 7: 1 :: 70: 10 The wages for each day's attendance. Aud. Aud. $

As 5 1: 10: 2 Each auditor's wages for one day.

C. and D. were each absent four days, when each of the other three were in attendance; therefore, their wages for the

time of their absence (which are 16 dollars) must be equally divided hetween A. B. and E.

Aud. Aud. $ $ cts. As 3 1: 16: 5.33

Coming to A. B. and E. each.

E. was absent three days, when each of the others were in attendance; therefore, his wages for these three days, which is six dollars, must be equally divided between A. B. C. and D.

Aud. Aud. $ $cts.

As 4:1::6: 1.50. Coming to A. B. C. and D. each.

A's wages for the term, viz: 7 days, at 2 dollars

Share of C's and D's wages,

per day,

Share of E's wages,

A. receives

B's wages for the term, viz: 7 days, at 2 dollars

per day,

Share of C's and D's wages,

Share of E's wages,

B. received

C's wages, viz: 3 days, at two dollars per day,

Share of E's wages,

C. received

D's wages, viz: 3 days, at two dollars per day,

Share of E's wages,

D. received

$14.00 cts.

5.33

1.50

20.831

$14.00 cts.

5.33

1.50

20.83

$6.00 cts.

1.50

7.50

$6.00 cts

1.50

$7.50

$8.00 cts.

5.334

13.333

E's wages, viz: 4 days, at two dollars per day,
Share of C's and D's wages,

E. received

2. The Spectator mentions a club of fat people, whose number was only 15, and yet weighed three tons: what was the weight of each person, on an average.

Ans. 4 cwt.

3. What quantity of lining, 3 qrs. of a yard wide, will it take to line 7 yards of cloth, 14 yards wide?

Ans. 15 yards. 4. What quantity of stuff, that is 3 qrs. of a yard wide, will line 17 yards of silk, that is 6 qrs. wide? Ans. 34 yds.

5. I demand the amount of 50 cords, 21 feet of bark, at 7 dollars, 50 cents per cord. Ans. 376 dolls. 23 cts.

6. If 5 men can make 240 pair of shoes in 30 days, how many men can make 1200 pair in 75 days? Ans. 10 men. 7. If 3 men can do 18 rods of ditching in 6 days, how many rods may be done by 24 men in 8 days? Ans. 192.

8. The breadth of a river is required-at one side of which, A. firing a gun, B. directly opposite, at the other, counts 6 pulsations at his wrist, between seeing the flash and hearing the report. Ans. 1 mile, 67.2 yards. 9. Bought 104 bushels, 3 pecks of potatoes, at 314 cents per bushel, what do they amount to? Ans. $32.734375.

10. The earth's orbit, or track, which it describes round the sun in 365 days, 6 hours, is computed, by astronomers, to be about 596900000 miles-How far, then, per minute, must we be carried through the firmament by this wonderful motion? Ans. 1134 miles, 7 furlongs.+ 11. What will a yard of cloth cost, when 4 pieces, each containing 21 yards, cost 504 dollars? Ans. 6 dolls. 12. Bought a granary of wheat, containing 100 solid feet, at the rate of one dollar per bushel: I wish to know the cost of it. Ans. 80 dolls. 35 cts. 6 m.

13. Bought 4 sections of land, for four thousand dollars How much do I pay per acre?

. 14. Sold 4 sections of land, at $1.93 much does it amount to?

Ans. $1.56 cts.

cts.

per acre-How Ans. 4960 dollars. 15. Laid out 500 dollars in hats, at 2 dolls. 50 cts. a piece -How many do I receive?

Ans. 200.

16. A. and B. depart from the same place, at the same time. A. travels due west, at the rate of 30 miles per day. B. travels due east, at the rate of 25 miles per day. A. is detained, by indisposition, 4 days; and B. after having proceeded on his journey 40 miles, returns for some articles of wearing apparel; remains at home one day, and undertakes his journey anew. I wish to know how far they are apart at the end of ten days; also, how far would they be apart if they had both been travelling due east or west?

Ans. 325 miles; E. or W. 35 miles. 17. Laid out 300 dollars for wheat and rye: the value of the wheat was 250 dollars, and the quantity of rye 100 bushels; also, for every 5 bushels of wheat there were 2 of