(28.) A gentleman sent a tankard to his goldsmith, weighing 50oz. 8dwt., and ordered him to make it into tea-spoons, each weighing 13 oz. how many had he?

3. APOTHECARIES WEIGHT.-See Table III.

(29.) In 25lb. how many scruples and grains? Ans. 72009 144000grs.

(30.) In 97920 grains how many ounces and pounds? Ans. 2043 176.

(31.) In 15 13 13,19 2gr. how many grains? (32.) In 174947 grains how many pounds?

(33.) An apothecary made a compound of 123 13 29 14gr. into troches of 19, of 19, and of 14gr.; and into pills of 11gr. and 13gr. each; he made an equal number of troches and pills: how many of each had he?

4. AVOIRDUPOIS WEIGHT.-See Table IV.

(34.) In 12 tons of iron how many lb.? Ans. 26880lb. 35.) In 31360lb. of iron how many tons? Ans. 14 tons. (36.) In 375cwt. 2qr. 15lb. of copper how many lb.? (37.) Reduce 740900oz. into cwts. and tons. (38.) In 39 bags of hops, each 3cwt. 1qr. 14lb., how many cwts. ?.

(39.) In 750 fother of lead, each 19дcwt. how many

cwts.?

(40.) In 135cwt. of raisins, how many parcels, each 90lb.?

(41.) In 570 great pounds of silk how many common? (42.) In 525 common pounds of silk how many great? (43. How many pounds in 54hhds. of tobacco, each weighing 17 cwt.?

(44.) A grocer weighed out an hhd. of sugar, containing 16cwt. 3qr. 10lb., into parcels of 6lb., of 8lb., of 12lb., of 14lb., and of 28lb., and had an equal number of each; how many of each had he?

5. CLOTH MEASURE.-See Table V.

(45.) In 314 yards how many nails? Ans. 5024 nails. (46.) In 576 French ells how many yards? Ans. 864 yards.

(47.) Reduce 97yds, 3qrs. into English ells.

(48.) In 57 pieces of Holland, each 35 ells Flemish, how many nails?

(49.) In 14 bales of cloth, each 17 pieces, each piece 56 ells Flemish, how many yards?

(50.) In 394 pieces of stuff, each 231 yards, how many yards?

(51.) In 796 pieces of Kersey, each 45 yards, how many yards?

6. LONG MEASURE.-See Table VI.

(52.) In 471 miles how many furlongs and poles? Ans. 3768f. 150720p.

(53.) In 123200 yards how many miles? Ans. 70m. (54.) In 50 miles how many yards, feet, inches, and barley-corns?

(55.) Reduce 37m. 2furl. 37p. 5ft. 6in. into feet.

(56.) In 17400 chains how many furlongs and miles? (57.) How many barley-corns will reach round the earth, which is 360 degrees, each 69 miles? and how many quarters of barley are contained in such a number of barley-corns, admitting 9212 barley-corns to fill a pint, and that 512 pints will make a quarter?

(58.) How often will a perambulator, 2 yards in circumference, turn between London and York, being 198 miles?

7. LAND MEASURE.-See Table VII.

(59.) In 77a. 1r. 14p., how many perches? Ans. 12374p.

(60.) In 17280 perches how many acres? Ans. 108a. (61.) If a piece of ground, containing 14a. 34p., be taken from a field of 50 acres, how many perches will the remainder contain ?

(62.) A gentleman has 4 fields, the first measures 3a. 1r., the second 42 acres, the third 5a. 30p., and the fourth 4a. 3r, 20p., and these he wishes to divide into parcels, or shares, of 33 roods each, for the purpose of accommodating his manufacturing tenants with small tenements: how many will he have?

8. WINE MEASURE.-See Table IX. (63.) Reduce 32hhds. into quarts. Ans. 8064qts. (64.) In 3276 gallons how many tuns? Ans. 13 tuns. (65.) How many gallons and pints are in 75hhds.? (66.) In 77hds. of brandy how many half-ankers? (67.) In 10 tuns 2hhds. 18 gallons of wine, how many pipes, puncheons, hhds., tierces, and runlets, and of each an equal number?

9. ALE AND BEER MEASURE.-See Tables X. and XI. (68.) In 38 hogsheads of ale, in London, how many pints? Ans. 14592 pints.

(69.) In 38 hogsheads of ale, in the country, how many pints? Ans. 15504 pints.

(70.) Reduce 516 barrels of beer, London measure, into half-pints.

(71.) How many gallons of beer are contained in a back of 50 barrels, country measure?

10. DRY MEASURE.-See Table XII.

(72.) In 44 quarters of corn, how many pecks? Ans. 1408 pecks.

(73.) In 30720 quarts how many lasts,? Ans. 12 lasts. (74.) In 50 chaldrons of coals how many pecks?

(75.) How many sacks, of 3 bushels each, are contained in 193chald. 12bush. of coals?

11. MEASURE OF TIME.-See Table XIII.

(76.) In 365d. 5h. 48m. 55sec. being a solar year, how many seconds? Ans. 31556935 seconds.

(77.) In 354d. 8h. 48m. 36 sec. being a lunar year, or 12 lunar months, how many seconds? Ans. 30617316/ seconds.

(78.) How many days, hours, minutes, and seconds, have elapsed from the creation of the world to Christmas 1818, supposing the creation to have been 4004 years before the incarnation of Christ?

(79.) If London was built 1108 years before Christ's nativity, how many hours is it since to Christmas 1818? (80.) From May 18, 1818, to February 18, 1845, how many days?

(47.) Reduce 97yds. 3qrs. into English ells.

(48.) In 57 pieces of Holland, each 35 ells Flemish, how many nails?

(49.) In 14 bales of cloth, each 17 pieces, each piece 56 ells Flemish, how many yards?

(50.) In 394 pieces of stuff, each 234 yards, how many yards?

(51.) In 796 pieces of Kersey, each 45 yards, how many yards?

6. LONG MEASURE.-See Table VI.

(52.) In 471 miles how many furlongs and poles? Ans. 3768f. 150720p.

(53.) In 123200 yards how many miles?

Ans. 70m. (54.) In 50 miles how many yards, feet, inches, and barley-corns?

(55.) Reduce 37m. 2furl. 37p. 5ft. 6in. into feet.

(56.) In 17400 chains how many furlongs and miles? (57.) How many barley-corns will reach round the earth, which is 360 degrees, each 69 miles? and how many quarters of barley are contained in such a number of barley-corns, admitting 9212 barley-corns to fill a pint, and that 512 pints will make a quarter?

(58.) How often will a perambulator, 2 yards in circumference, turn between London and York, being 198 miles?

7. LAND MEASURE.-See Table VII.

(59.) In 77a. 1r. 14p., how many perches? Ans. 12374p.

(60.) In 17280 perches how many acres? Ans. 108a. (61.) If a piece of ground, containing 14a. 34p., be taken from a field of 50 acres, how many perches will the remainder contain ?

(62.) A gentleman has 4 fields, the first measures 3a. 1r., the second 4 acres, the third 5a. 30p., and the fourth 4a. 3r, 20p., and these he wishes to divide into parcels, or shares, of 33 roods each, for the purpose of accommodating his manufacturing tenants with small tenements: how many will he have?

(86.) If 44 guineas make 1lb. Troy, and 48 halfpence make 1lb. Avoirdupois, what is the weight of a guinea and of a halfpenny in Troy weight?

(87.) A farmer had 5 sons, to whom he left 5007. in cash, and 5 bills of 847. 10s. 6d. each; he ordered his debts to be paid, amounting to 1207.; and 207. to be expended at his funeral: the residue was to be divided in this manner the eldest was to have a fourth part, and each of the other sons to have equal shares: what was the share of each son?

(88.) The national debt is eight hundred millions, and thirty ten-pound bank notes, upon an average, weigh an ounce Avoirdupois; now, supposing this debt to consist entirely of ten-pound notes, what would be the weight thereof?

(89.) The mean distance of the earth from the sun is ninety-five millions of miles, and the circumference of the earth's orbit is 34 times its diameter; now, as the earth goes round the sun in 365 days 6 hours, at what rate per hour does it travel?

(90.) A general distributed 3077. 178. among 4 captains, 5 lieutenants, and 60 common soldiers: to every lieutenant be gave twice as much as to a common soldier, and to every captain three times as much as to a lieutenant: what did each receive?

THE RULE OF THREE DIRECT.

Definition. The Rule of Three Direct teaches, by three given numbers, to find a fourth, which shall have the same ratio to the second as the third has to the first; that is, if the first be greater than the third, the second will be greater than the fourth; and, if the first be less than the third, the second will be less than the fourth.

*In the old copper coinage three new halfpence weighed an ounce. In Bolton's coinage, the two-penny-pieces weigh two ounces, the pennypieces one ounce, but a halfpenny weighs less than half an ounce, and a farthing less than a quarter of an ounce. The last coinage of 1806 is still lighter, on account of the advance in the price of copper.