Ans. 432.

In 27 yards, how many nails? In 24 pieces, each containing 32 Flemish ells, how many English ells? Ans. 460 ells, 4 qrs.

In 17 pieces of cloth, each 27 Flemish ells, how many yards? Ans. 344 yards, 1 qr. Bought 27 pieces of English stuffs, each 27 ells, how many yards? Ans. 911 yards, 1 qr.

Ans. 729.

In 911 yards, how many English ells? In 12 bales of cloth, each 25 pieces, each 15 English ells, how many yards?


Ans. 5625.

In 120 quarters of wheat, how many bushels, pecks, gallons, and quarts?

Ans. 960 bush. 3840 pecks, 7680 gals. 30720 qts. In 30720 quarts of corn, how many quarters? Ans. 120. In 20 chal. of coals, how many pecks?

In 273 lasts of corn, how many pecks?

Ans. 2880.

Ans. 87360.

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Rules and Examples



1. To reduce the old Wine or Spirit Measure to the Imperial Gallon, and the contrary.

RULE.-Multiply by 924, and divide by 1109; the quotient gives the Imperial gallons: or deduct th. Multiply by 1109, and divide by 924; the quotient gives the wine gallons Old measure: or add th.


How many Imperial gallons in a pipe of wine, old Ans. 105 gallons. In a cask of spirits containing 110 gallons measured by the Imperial gallon, how many of the Old measure? Ans. 132 galls.

2. To reduce the old Ale or Beer Gallon to the
Imperial, and the contrary.

RULE.-Multiply by 1128, and divide by 1109; the quotient gives the New gallons: or add th.

Multiply by 1109, and divide by 1128; the quotient gives the gallons of Old measure: or deduct


How many Imperial gallons in 20 hogsheads of porter of Old measure? Ans. 10981 gallons. In 1098 gallons of ale Imperial measure, how many gallons of the Old standard? Ans. 1080 gallons.

3. To reduce Winchester Measure to the Imperial Standard, and the contrary.

RULE.-Multiply by 1075, and divide by 1109; the

quotient gives Imperial measure: or deduct


Multiply by 1109, and divide by 1075; the quotient

gives the old Winchester standard measure: or add ̧nd. part, or a peck to the quarter.


How many Winchester bushels are in 1280 Imperial Ans. 1320 bushels. How many quarters of barley of New measure, are equal to 2160 bushels Winchester measure?

Ans. 261 qrs. 5 bushels. Reduce 1320 Winchester bushels into Imperial bushels standard measure. Ans. 1280 bushels.

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Single Rule of Three


T is called the RULE OF THREE, because three terms or numbers are given, to find a fourth and, from its great and extensive utility claims so decided a preference to all others, that it is often denominated the Golden Rule. This rule is usually considered of two kinds, viz. Direct and Inverse. The Rule of Three Direct is that in which more requires more, or less requires less; and enables us to find a fourth, proportional to three numbers given of these, two contain the supposition, and the third

a demand. The Rule of Three Inverse is when more requires less, or less requires more.

RULE. First state the question; that is, place the numbers in such order, that the first and third be of one kind, and the second the same as the number required then bring the first and third numbers. into one name, and the second into the lowest term mentioned. Multiply the second and third numbers together, and divide the product by the first; the quotient will be the answer to the question in the same denomination you left the second number in.

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