2. Reduce 49 chaldrons of coals, to pecks.

Ans. 7056.

3. Reduce 4320 pecks of coals, to chaldrons.

Ans. 30.

4. Reduce 7056 pecks of coals, to chaldrons.

Of Time.

1. In 25 years,* how many seconds?

Ans. 49.

Ans. 788940000.

2. Reduce 7 weeks, 3 days, 9 hours, 37 minutes, 12

Ans. 4527432.

seconds, to seconds.
3. Reduce 788940000 seconds, to years.*

4. Reduce 452732 seconds to weeks.

Ans. 25.

Ans. 7 w. 3 d. 9 h. 37 m. 12 S.

Of Motion.

1. Reduce 360 degrees, to seconds.

Ans. 1296000. 2. In 131 degrees, how many minutes and seconds? Ans. 7860 minutes, or 471600 seconds. 3. Reduce 1296000 seconds to degrees. Ans 360. 4. Reduce 471600 seconds to degrees.

Ans. 131.

Miscellaneous Questions to exercise the learner in Reduction of Money, Weights, Measures, &c.

1. In 72 18 9, how many pieces of 4 each ?^

Ans. 3890.

2. In £72 12, how many pistareens, of Is. 23d.? Ans 1210.

3. In 4334, how many crowns, 6s. 7 d. each ? Ans. 3940 crowns. 4. In 2875 guineas of 28s. 8d. how many crowns of 6s. 74d. each? Ans. 12487148.. 5. In 150, how many pieces of 5s. 9d.—3s. 9d.2s. 3d-1s. 10d.-111d.-3d.-and 24d. of each an equal number? Ans. 200.

396

* In these examples the year is called 365 days, and 6 hours..

6. In 870 crowns of 6s. 73 d. how many dollars?

Ans. 957.

7. How many pieces of 27s. are there in 3240 pence Ans. 10.

?

8. In 21 purses, in each 21 guineas of 21s. sterling, a crown of 5s. and a moidore of 27s. what do they contain in sterling? Ans. 496 13.

9. In 241056 grains of silver, how many ingots of 6lb. 11oz. 14 dwt. each? Ans. 6 ingots.

10. How many pounds of silver are there in one dozen dishes, each weighing 25oz. and 15 dwt. and one dozen of plates, each weighing 15oz. 15 dwt. 22 gr. Ans. 41lb. 6 oz. 11 dwt. 11. How many hogsheads of sugar, each weighing 11 C. are there in 12880 pounds? Ans. 10Hhd. 12. How many fother of lead in 507 C? Ans. 26. 13. How many cannisters of 12 lb. each can be filled out of 12 C. 3 qrs. 12 lb. of tea?

Ans. 120.

14. How many parcels of 6 lb. 8 lb. 12 lb. and 16 lb. and an equal number of each can a grocer have out of two hogsheads of tobacco, each weighing neat 4 C. 3 qrs. 24 lb. Ans. 26 parcels of each, and 20lb. over. 15. In 4 bales of cloth, each 12 pieces, and each piece 24 Ells Flemish, how many Ells English?

Ans. 691 E. En. and I qr. 16. How many shirts, to contain 3 yards each, can be made with 19 pieces of linen, each 274 yards?

Ans. 14713 shirts.

17. A boat of 37 feet keel, sets out from Boston long wharf, for the lighthouse, with a fair wind; how many times the length of her keel will she run, before she arrives, it being 9 miles. Ans. 1267.

18. Suppose West-Boston bridge 212 rods in length; how many times will a chaise wheel turn round in passing over it, that is 184 feet round, or in circumference? Ans. 1897

19. In 2985586560 barley corns, how many degrees of 691 miles each ? Ans. 226. 20. In 17 pipes of wine, each 126 gallons, how many kegs of 15 gallons each? Ans. 1402. 21. In 344894773 gills of wine, how many tuns, &c. Ans. 42769 T. 2 Hhd. 47 ga. 2 qts. 5 gi.

22. How many seconds are there since the birth of Christ to the 25 December, A. D. 1808, allowing the year to consist of 365 days, 5 hours, 48 minutes, 48 seconds? Ans. 57054925824.

MULTIPLICATION OF FEDERAL MONEY

Teaches how, from the price of 1 yard, &c. given in Federal Money, to find the price or value of any number proposed.

RULE. Consider the given price in it lowest denomination. Multiply the price of one, by the number given, or proposed, the product will be the value of the whole, in the lowest denomination used, and may be reduced as has been taught.

NOTE. The same cases apply here, as in Simple Multiplication, only observe to set the separating points in their proper places in the product, which reduces it to its proper terms.

3. What is the value of 37 yards of broadcloth, at

$5,75 per yard?

Ans. $212,75.

4. What is the value of 4 dozen of buttons, at $0,55,3, per dozen?

Ans. $2,21,2.

5. 90 gallons of brandy at $1,07,5 per gallon?

Ans. $96,75.

6. 536 quintals of fish, at $3,57, per quintal ?

7. 26 hogsheads of lime, at $3,65

Ans. $1913,52. per hogshead? Ans. $94,90.

8. What is the value of 84 pounds of tea, at $1,36 per lb. ? Ans. $114,24.

9. 3 hogsheads of tobacco, each weighing neat 5 C. 2 qr. 17 lb. at 5 cents per lb ? Ans. $104,44,5.

10. 15 hogsheads of sugar weighing each 12 C. 1 qr. 16 lb. neat, at 5 cents per lb ?

Ans. $1041.

11. 35 tons of hay, at 75 cents per cwt?

12. 57 yards at 37 cents ?

Ans. $525. Ans. $21,09.

Ans. $2,97.

13. 9 pounds of coffee, at 33-cents? 14. 5 barrels of sugar containing 2 C. 1 each at 7 cents per lb ?

15. 25 bushels of wheat, at $1,12

?

qr. 15 lb. Ans. $93,45.

Ans. 828,12.

When articles are sold by the thousand, and have thousands, hundreds, &c. given.

Multiply the price of one thousand, by the thousands, hundreds, &c. given, point off the three right hand figures for decimals, the others will be the whole value in the lowest denomination mentioned at the given price, which may be reduced by the preceding rules.

EXAMPLES.

1. 25374 feet of boards, at $7,50,

25374

7,50*

1268700

177618

$190,30,5,00 Ans.

2. 46487 feets of boards, at $6,75,5 per thousand ?

3. 22736 bricks, at $5,55

4. 237385 bricks, at $6,25

Ans. $314,01,9,685.

Ans. $126,18,4,80.

Ans. $1483,65,6,25.

When the given quantity is a fraction, as 2, 3, &c. Multiply the price of one by the numerator of the fraction, and divide the product by the denominator.

* There being more figures in the number of the article, than in the price, the latter is set under the former, as a multiplier, the result is the same, and the operation easier.

If the numerator is 1, as,,, &c. divide the price of one, by the denominator, the quotient will be the answer in either case.

EXAMPLES.

1. What is the value of of a yard of cloth, at $4,25 per yard?

or 43 cents 7 mills.
Ans. $16,24.

3. of a ton of hay, at $18,56.

4% of a gallon of brandy, at $1,28. Ans. 1,06,6+ 5. of an acre of land, at $17,66. Ans. 1,96,2 +

NOTE. These questions may be proved by a contrary process, i. e. multiply the answer by the denominator, and divide the product by the numerator, the quotient will bethe value of one.

When the given quantity is a mixed number, as 34, 267, &c.

Proceed with the fractions as above directed, then multiply the given price by the integer, and add the quotient and product together, their sum will be the value required.

EXAMPLES.

1. What is the value of 262 bushels of wheat, at $1,25 per bushel ?

$1,25
264

4)3,75

NOTE. These questions may be proved by a contrary process; see division of Federal Money, with mixed numbers.