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DRY MEASURE.

1. In 49 bushels, how many quarts?

2. How many bushels in 27072 quarts?

Ans. 1568
Ans. 846.

3. How many pints in 150 bushels of corn? Ans. 9600. 4. In 56 bushels of wheat, Canada measure, how many bushels of the United States? Ans. 70. NOTE.-5 pecks, or 40 quarts, make 1 Canada bushel. WINE MEASure.

1. In 3 hogsheads, how many gills?

2. How many hogsheads in 6480 gills?

Ans. 6048.

Ans. 3 Hhds. 13 Gals. 2 Qts.

3. How many pints in 25 tuns of wine? Ans. 50400. 4. In 30876 gills, how many hogsheads?

Ans. 15 Hhds. 19 Gals. 3 Qts. 1 Pt.

BEER MEASure.

1. In 10 hogsheads 17 gallons, how many gills?

Ans. 17824.

2. How many firkins of ale, in 7624892 pints? Ans. 119138 A. Fir. 7 Gals. 2 Qts. 3. How many pints in 12 hogsheads, 15 gallons, 2 quarts?

Ans. 5308.

4. In 6420 quarts, how many firkins of Beer?

TIME.

Ans. 178 B. Fir. 3 Gals.

1. How many minutes in 347 days?

2. In 57953 hours, how many weeks?

Ans. 499680.

Ans. 344 W. 6 D. 17 H. 3. How many seconds are there in 72 years, 10 days, 18 hours, 11 minutes, allowing 365 days and 6 hours to a year ? Ans. 2273076660.

4. How many days from the 20th of April to the 16th of December following? Ans. 240. 5. Suppose your age to be 16 years and 20 days, how many seconds old are you, allowing 365 days and 6 hours to the year? Ans. 506649600 Sec. 6. How many days from the birth of Christ, to Christmas 1823, allowing the year to contain 365 days? Ans. 665850 Days.

7. In a lunar month, how many seconds?

Ans. 2551443 Sec.

CIRCULAR MOTION.

1. In 6 signs of the zodiac, through which the sun moves in half a year, how many seconds?

Ans. 648000.

2. How many prime minutes in 360 degrees?

Ans. 21600.

APPLICATION.

1. Four men brought each £70 sterling value in gold into the mint; how many guineas at 21s. each must they receive in return? Ans. 266 guin. 14s.

2. A silversmith received 3 ingots of silver each weighing 54 ounces, with directions to make them into spoons of 2 oz., cups of 5 oz., salts of 1 oz., and snuff boxes of 2 oz., and deliver an equal number of each; what was the number? Ans. 16 of each, and 2 oz. over.

3. Suppose a ship's cargo from Bourdeaux to consist of 250 pipes, 130 hhds., and 150 quarter easks or 1⁄2 hhds.; how many gallons are there in all; and, allowing every pint to be a pound, what burden was the ship of?

Ans. 44415 gal. and the ship's burden

was 158 tons, 12 cwt. 2 qrs.

4. In 15 pieces of cloth, each piece 20 yds., how many French ells? Ans. 200. 5. In 10 bales of cloth, each bale 12 pieces, and each piece 25 Flemish ells, how many yards? Ans. 2250.

6. The forward wheels of a wagon are 14 feet in circumference, and the hind wheels 15 feet, 9 inches; how many more times will the forward wheels turn round than the hind wheels, in running from Hollowell to Boston, it being 174 miles? Ans. 50284 times. 7. How many times will a ship 97 feet, 6 inches long, sail her length, in the distance of 12800 leagues, and 10 yards? Ans. 2079508.

8. The sun's mean distance from the earth is 95,000,000 of miles; and a cannon ball at its first discharge, flies about a mile in 7 seconds; how long would a cannon ball be, at that rate, in flying from the earth to the sun? Ans. 22yrs. 216days, 12h. 40min.

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9. If a field be 36 rods long, and 24 rods wide, how many acres does it contain? Ans. 5 ac. 1 roo. 24 rods.

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10. How many strokes does a regular clock strike in 365 days or a year? Ans. 56940. 11. How long will it take to count a million, at the rate of 50 a minute? Ans. 333h. 20m. or 13d. 21h 20m.

12. If the national debt of England amounts to 837 millions of pounds sterling; how long would it take to count this debt in dollars, (4s. 6d. sterling,) reckoning, without intermission, twelve hours a day, at the rate of 50 dollars a minute; and allowing 365 days to the year? Ans. 283 yrs. 38 days, 4 hours.

13. In 42 pigs of lead, each weighing 4cwt. 3qrs., how many fother, at 19cwt. 2qr.? Ans. 10 fother, 4 cwt. 14. A gentleman has 20 hhds. of tobacco, each 8 cwt. 3 qrs. 14, and wishes to put it into boxes containing 70 lb. each; I demand the number of boxes he must get, at 25 to the qr.? Ans. 254. 15. How many coats can be made out of 36 yds. of broadcloth, allowing 13 yds. for a coat

Ans. 21. 16. A man would ship 720 bushels of corn, in barrels which will hold 3 bus. 3 pks. each; how many barrels must he get? Ans. 192. 17. How many pints, quarts, and two quarts, of each an equal number, may be filled from a pipe of wine?

Ans. 144.

18. Three fields contain, the first 7 acres, the second 10 acres, and the third 12 acres, 1 rood; how many shares can they be divided into, each share to contain 76 perches? Ans. 61 shares, and 44 perches over.

FEDERAL MONEY.*

THE denominations of Federal Money, like figures in whole numbers, increase in a tenfold proportion, beginning with mills, of which

10 make

10 Cents

10 Dimes

10 Dollars

1 Cent, marked m. c. respectively.

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1 Dime,

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*Federal Money ought, in strict propriety, to be treated of after decimal fractions; but usefulness, (as fractions are not always

In the money of account the dollar is considered as the unit; all other denominations being valued according to their distance from the dollar's place. A point or comma must be placed after the dollars to separate them from the lower denominations; then the first figure at the right of the comma is dimes, the second cents and the third mills; but in reckoning, the two first are called so many cents, using the dimes for the tens' place of cents.* When the cents in any sum are less than 10, a cipher must be put in the place of dimes, or tens' place of the cents, before any operation is performed.

ADDITION OF FEDERAL MONEY.

RULE.-Place the numbers according to their value, dollars under dollars, cents under cents, &c. and add as in whole numbers, placing the comma in the sum directly under the commas above.

understood) requires, and its simplicity and near alliance to whole numbers, will admit it in this place.

The coins of the United States are three of gold, six of silver and two of copper. The Gold coins are called an eagle, half eagle and quarter eagle; the silver, a dollar half dollar, quarter dollar, double dime, dime and half dime; and the copper, a cent and half cent.

The weight of the eagle is 11 pennyweights and 6 grains; the weight of the dollar 17 pennyweights 8 grains; of the dime, 1 penny weight 17 3-5 grains; of the cent 8 pennyweights 16 grains. The standard for gold coin is eleven parts fine gold and one part alloy; the alloy consisting of silver and copper. The standard for silver is 1485 to 179 alloy; the alloy being wholly of copper. Alloy is used in gold or silver to harden it.

When either gold or silver is finer or coarser than the standard, the variation from the standard is estimated by carats and grains of a carat in gold, and by pennyweights in silver.

NOTE.-A carat is not any certain quantity or weight, but of any weight or quantity; which minters and goldsmiths divide into four equal parts called grains of a carat.

*Any sum of this money may be read differently; either wholly in the lowest denomination, or partly in the higher and partly in the lowest. Thus the sum $24,367 may be read 24367 mills; or 2435 cents. 7 mills; or 243 dimes, 6 cents and 7 mills; or 24 dollars 3 dimes, 6 cents and 7 mills; or 2 eagles, 4 dollars, 3 din es, 6 cents and 7 mills; or 24 dollars, 36 cents and 7 mills; but the last is the usual method.

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NOTE. To multiply by,,, &c. Take 1,,, &c. of the multiplicand first, and set it down beneath the line as a product; then multiply by the whole number, setting the product or products below that of the fraction, and add all together.

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1. What will 120 yards of damask come to, at $12,5c. per yard?

Ans. $1446. 2. Find the amount of the following bill of Parcels. Hallowell, Nov. 1, 1829.

Mr. Peter Paywell,

Bought of Francis Fairdealer ;

28 . of Green Tea, at $2,15c. per fb.

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41 b. of Coffee,
34 . of Loaf Sugar,
13 cwt. of Malaga Raisins,
35 firkins of Butter,
27 pairs of Worsted Hose,
94 bushels of Oats,
29 pairs of Men's Shoes,

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Received payment in full,

0,15

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Amount,-$509,32c.

Francis Fairdealer.

A SHORT RULE,

To know, mentally, the value of 100 pounds of any article in Federal Money, when the price of 1lb. is given.

RULE. Call the cents in the price of 1 pound, dollars, and that sum will be the value of 100 pounds of the arti

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