62

5. CLOTH MEASURES

1. In 95 yards, how many quarters and nails?
Ans. 380grs. 1520na.

2. In 341 yards, Sqrs. Ina. how many nails?

S. In 5783 nails, how many yards?

Ans. 5469.

Ans. 236yds. 1gr. Sna.

4. In 61 Eils English, how many quarters and nails?

Ans. 305qrs. 1220na.

5. In 56 Eils Flemish, how many quarters and nails?

Ans. 168grs. 672na.

6. In 148 Elis English, how many Ells Flemish ?

ns. 246E. F. 2qrs.

7. In 1920 nails, how many yards, Ells Flemish, anđ Ells English?

Ans. 120yds. 160E. F. and 96E. E. 8. How many coats can be made out of 36 yards of roadcloth, allowing 13 yards to a coat?

6. DRY MEASURE.

Ans. 21

1. In 186 bushels, how many pecks, quarts and pints ? Ans. 544pks. 4352qts. 8704pts.

2. In 49 bush. Spks. 5qts. how many quarts ?

s. In 8704 pints, how many bushels?
4. In 1597 quarts, how many

bushels ?

Ans. 1597.
Ans. 136.

Ans. 49bus. Spks. 5qts. 5. A man would skip 720 bushels of corn in barrels, which will hold 3 bushels, 3 pecks each, how many bar. rels must he get ?

7. WINE MEASURE.

Ans. 192.

1. In 9 tans of wine, how many hogsheads, gallons and quarts?

Ans. 36hhds. 2208gal. 9072qts.

2. In 24 hids. 18 gals. 2 qts. how many pints?

Ans. 12244.

fins. 9.

3. In 9072 quarts, how many tuns ?'
4. In 1905 pints of wine, how many hogsheads?
Ans. 3hhds. 49gals. Int.

5: In 1789 quarts of cider, how many barrels ? Ans. 14bls. 25qts.

6. What number of bottles, containing a pint and a half each, can be filled with a barrel of cider ? Ans. 168. 7. How many pints, quarts, and two quarts, each an equal number, may be filled from a pipe of wine?

8. LONG MEASURE.

Ans. 144.

1. In 51 miles, how many furlongs and poles?

corns ?

Ans. 408fur. 16320 poles. 2. In 49 yards, how many feet, inches, and barley Ans. 147ft. 1764inch. 5292b.c. 3. How many inches from Boston to New-York, it being 248 miles? 4. In 4352 inches, how many yards ?

Ans. 15713280inch.

Ans. 120yds. 2ft. 8in.

5. In 682 yards, how many rods?

Ans. 682×2÷11=124rods.

8. In 15840 yards, how many miles and leagues?

Ans. 9m. 3lea.

7. How many times will a carriage wheel, 16 feet and 5 inches in circumference, turn round in going from New-York to Philadelphia; it being 96 miles?

Ans. 80261 times, and 84 feet over. 8. How many barley-corns will reach round the globe, it being 360 degrees P

Ans. 4755801600.

9. LAND OR SQUARE MEASURE.

Ans. 38705perches.

1. In 241 acres, 3 roods and 25 poles, how many square rods or perches ? 2. In 20692 square poles, how many acres?

Ans. 129u. ir. 12p0. 3. If a piece of land contain 24 acres, and an inclosure of 17 acres, 3 roods, and 20 rods be taken out of it, how many perches are there in the remainder?

Ans. 980 perches. 4. Three fields contain, the first 7 acres, the second 10 acres, the third 12 acres, 1 rood; how many shares can they be divided into, each share to contain 76 rods?

Ans. 61 shares, and 44 rods over.

10. SOLID MEASURE.

1. In 14 tons of hewn timber, how many solid inches ? Ans. 14x50x1728-1209600. 2. In 19 tons of round timber, how many inches? Ans. 1313280.

5. In 21 cords of wood, how many solid feet? Ans. 21x128=2688.

4. In 12 cords of wood, how many solid feet and inches? Ans. 1536ft. and 2654208inch. 5. In 4608 solid feet of wood, how many cords?

11. TIME.

Ans. 36cd's,

1. In 41 weeks, how many days, hours, minutes, and secouds ?

Ans. 287d. 6888h. 413280min. and 24796200see, 2. In 214d. 15h. 31m. 25sec. how

many

seconds?

Ans. 18545485sec. 3. In 24796800 seconds, how many weeks?

Ans. 41 weeks.

4. In 184009 minutes, how many days?

Ans. 127d. 18h. 49miz. 5. How many days from the birth of Christ, to Christmas, 1797, allowing the year to contain 365 days, 6 hours. Ans. 656354d. 6h.

6. 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. 506649600sec. 7. From March 2d, to November 19th following, inclusive, how many days P

13. CIRCULAR MOTION.

Ans. 262.

1. In 7 signs, 15° 24′ 40′′ how many degrees, minutes, and seconds?

Ans. 225 13524′ and 811480"

2. Bring 1020300 seconds into signs.

Ans. 9signs, 135° 25′

QUESTIONS TO EXERCISE REDUCTION.

1. In 1259 groats, how many farthings, pence, shillings

and guintas at 28s.

Ans: 20144grs. 60360 410s. Sd. and 14guineas, 27s. &.

2. Borrowed 10 English guineas at 28s. cach, and 24 English crowns at 6s. and Sd. each; how many pistoles at 22s. each will pay the debt? Ans. 20. 3. Four men brought each 17. 10s. sterling value in gold into the mint, how many guineas at 21s. each must they receive in return? Ans. 66 guin. 14s.

4. A silversmith received three ingots of silver, each weighing 27 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. 8 of each, and 1 oz. over.

5. Admit a ship's cargo from Bordeaux to be 250 pipes, 130 hhds. and 150 quarter casks (hhds.] how many gallons in all; allowing every pint to be a pound, what burden was the ship of? Ans. 44415 gals. and the ship's burden was 158 tons, 12cwt. 2qrs. 6. In 15 pieces of cloth, each piece 20 yds. how many French Ells? Ans. 200. 7. In 10 bales of cloth, each bale 12 pieces, and each. piece 25 Flemish Ells, how many yards? Ans. 2250.

8. The forward wheels of a waggon 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 Boston to New-York, it being 248 miles?

Ans. 7167.

9. How many times will a ship 97 feet 6 inches long, sail her length in the distance of 12800 leagues and ter yards P Ans. 2079508.

10. The sun is 95,000,000 of miles from the earth, and a cannon ball at its first discharge flies about a mie in 7 seconds; how long would a cannon ball be, at that rate in flying from here to the sun ?

Ans. 22yr. 216d. 12h. 40m. 11. The Sun travels through 6 signs of the Zodiac in half a year; how many degrees, minutes and seconds ? Ans. 180deg. 10S00min. 648000sec. 12. How many strokes does a regular clock strike in 365 days, or a year?

Suns. 56940.

15. How long will it take to count a million at the rate Ans. 3334. Um or 13d 21h.20 m.

of 50 a minute

6 How much is of an hundred weight?

TI

Ans. Sqrs. 7lb. 100

7. What is the value of g of a mile?

Ans. 6fur. 26po. 11ft.

8. How much is of an cwt. ?

Ans. Sqrs. 3lb. 1oz. 123dr.

9. Reduce of an Ell English to its proper quantity. Ans. 2qrs. Sna. 10. How much is of a hhd. of wine? Ans. 54gal. 11. What is the value of of a day?

Ans. 16h. 36min. 555 sec.

PROBLEM III.

To reduce any given quantity to the fraction of any greater denomination of the same kind. RULE.

Reduce the given quantity to the lowest term mention ed for a numerator; then reduce the integral part to the same term, for a denominator: which will be the frac tion required.

EXAMPLES.

1. Reduce 13s. 6d. 2qrs. to the fraction of a pound. 20 Integral part

12

13 6 2 given sum.

12

650 Num. Ans. §50

65°

967

2. What part of an hundred weight is Sqrs. 14lb.

Sqrs. 14lb. 98lb.

Ans. 98

112 =f Ans. 1

3. What part of a yard is Sqrs. 3na. ?
4. What part of a pound sterling is 13s. 4d.? Ans.
5. What part of a civil year is 3 weeks, 4 days?

Ans. 25

365=23 6. What part of a mile is fur. 26po. Syds. Eft. ?

fur. po. yd. ft. feet.

6 26 3 2-4400 Num.

a mile 5280 Denom.

Ans. 4400

7. Reduce 7oz. 4pwt. to the fraction of a pound troy.

Ans.

8. What part of an acre is 2 roods, 20 poles ♪ Ins.