953. To change the Common to the Metric System.

1. In 10 lb. 4 oz. Troy, how many kilograms?

as many grams in 59040 gr. as 15.432 gr. is contained times in 59040 gr., or 3825.75 g. And since there are 1000 grams in a kilogram, dividing 3825.75 g. by 1000 g., the quotient is 3.82575. Therefore, there are 3.82575 Kg. in 10 lb. 4 oz.

RULE.-Reduce the given quantity to the denomination in which the equivalent of the principal unit of the metric table is expressed; divide by this equivalent, and reduce the quotient to the required denomination.

EXERCISES.

2. In 6172.9 lb av., how many kilograms? Ans. 2800.009 Kg. 3. How many ars in a square mile?

4. How many cu. decimeters in 1892 cu. feet?

5. In 892 gr., how many grams?

Ans. 57.8 g.

6. In 2 mi. 272 rd. 5 yd., how many kilometers? Ans. 4.59 Km.

7. How many sters in 264.4 cu. feet?

8. How many liters in 3 bu. 1 pk. ?

Ans. 114.5 1.

9. How many grams in 6 lb. Troy? In 6 lb. Avoir. ?

10. How many meters in 3 mi. 272 rd. ?

11. In 1828 cu. yd. how many cu. meters? Ans. 1397.52 cu. m.

12. In 3588 sq. yards, how many sq. meters?

13. Bought 454 bu. of wheat, at $3 a bushel, and sold the same at $8.75 per hektoliter; how many hektoliters did I sell? Did I gain or lose, and how much? Ans. 160 Hl.; gain, $38.

14. In 13 gal. 3 qt. 2 pt. 3 gi., how many liters?

Ans. 53.35 1. + .

15. How many sq. meters of plastering in a room 18 ft. 6 in. long, 14 ft. wide, and 9 ft. 6 in. high? Ans. 81.427 sq. m.+.

TEST PROBLEMS.

954. 1. Find the weight of a barrel of flour (196 lb.) in Kg.? 2. What is the cost of a carpet for a room 10.5 m. long, and 8.4 m. wide, if the carpet is 84 cm. wide and costs $2.75 a meter?

Ans. $288.75.

3. A farmer sold 540 Hl. of wheat, at $2 a bushel, and invested the proceeds in coal at $7 per ton. How many tons did he buy? Ans. 437.785 T.+.

4. What is the cost of a building lot 75 m. long and 62 m. wide, at $40 an ar? Ans. $1860.

5. A bushel of wheat weighs 60 lb. What is the weight of 5 Hl. of wheat, in kilograms? Ans. 386.05 Kg. 6. What will be the cost of a pile of wood 15.7 m. long, 3 m. high, and 7.52 m. wide, at $1.50 a ster?

7. The new silver dollar weighs 412 gr. Troy. How many grams does it weigh? Ans. 26.73 g.

8. How many acres of land in 24.6 Km. of a highway, which is 20 m. wide? Ans. 121.573 A.

9. A bin is 4.2 m. long, 2.8 m. wide, and 1.5 m. deep. What will be the cost of filling it with charcoal, at 25 cts. a hektoliter?

10. A merchant bought 300 m. of silk in Lyons, at 12.5 francs a meter; he paid 75 cents a yard for duty and freight, and sold it in New York at $5 a yard. What was his gain? Ans. $670.61.

11. What price per pound is equivalent to $2.50 per Hg.?

12. If a man buys 5000 g. of jewels, at 35 francs a gram, and sells them at $15 a pennyweight, what was his gain or loss?

13. If a field produces 40 Hl. of oats to the hektar, how many bushels is that to the acre? Ans. 45.93 bu.

14. What price per peck is equivalent to 80 cts. a dekaliter? 15. What will be the cost of excavating a cellar 18.3 m. long, 10.73 m. wide, and 3.4 m. deep, at 20 cents per ster?

16. How many pounds Avoir. are there in 96.4 kilos of salt? 17. How many liters will a cistern hold that measures on the inside 5.5 ft. long, 4 ft. 6 in. wide, and 4 ft. deep? Ans. 2803.383 L

18. How many meters of lining that is 60 cm. wide will line 15 m. of silk that is 75 cm. wide? Ans. 18,75 cm.

19. A lady bought 40.5 m. of silk in Paris. What would be its value in Boston, at $4.75 per yard?

20. A bin is 4 m. long, 2.3 m. wide. contain 40 Hl. of grain?

How deep must it be to
Ans. 4.347 + dm.

21. How many sters of wood can be piled in a shed 8.5 m. long, 5.8 m. wide, and 4.2 m. high? What would be its value at $3.25 a cord? Ans. 207.06 s.; $185.665.

22. A dray is loaded with 60 bags of grain, each bag holding 8 Dl.; allowing 75 K. of grain to the hectoliter, what is the weight of the load in metric tons ? Ans. 3.6 T.

23. How many meters of shirting, at $.18 per meter, must be given in exchange for 250 HI. of oats, at $1.20 per hectoliter?

24. A merchant shipped to France 50 barrels of sugar, each containing 250 lb., paying $2 per cwt. for transportation. He sold the sugar at $.34 per kilogram, and invested the proceeds in broadcloth, at $4 per meter. How many yards did he purchase?

25. A cu. decimeter of copper weighs 8.8 Kg. What is the value of a bar of the same metal 15 dm. long, 9.6 cm. broad, and 6.4 cm. thick, at $1.30 a kilogram? Ans. $105.43.

26. How many bricks, each 20 cm. long and 10 cm. wide, will pave a walk 95.4 m. long and 2.1 m. wide; and what will they cost, at $1.75 per hundred? Ans. 10017 bricks; $175.297.

27. What is the value of a pile of wood 40 ft. 6 in. long, 4 ft. broad, and 6 ft. 6 in. high, at $6.50 per dekastere ?

28. What will be the cost of building a wall 96 Dm. 6 m. 8 dm. long, 1 m. 6 dm. thick, and 2 m. 4 cm. high, at $6.75 a cu. meter?

29. A wine merchant imported to Boston 1000 dekaliters of wine, at a cost of $.75 a liter, delivered. At what price per gallon must he sell the same to clear $2000 on the shipment? Ans. $3.596.

30. How many gallons of water will a cistern contain that is 3 m. deep, 2 m. long, and 1.5 m. wide; and what will be its weight in metric tons? Ans, 2377.575 gals.; 9 T.

TABLE OF EQUIVALENTS.

955. The equivalents here given agree with those that have been established by Act of Congress for use in legal proceedings and in the interpretation of contracts.

VERMONT RULE FOR PARTIAL PAYMENTS.

956. The General Statutes of Vermont provide the following RULE for computing interest on notes, when partial payments have been made:

"On all notes, bills, or other similar obligations, whether made payable on demand or at a specified time, WITH INTEREST, when payments are made, such payments shall be applied: first, to liquidate the interest that has accrued at the time of such payments; and, secondly, to the extinguishment of the principal.

"On all notes, bills, or other similar obligations, whether made payable on demand or at a specified time, WITH INTEREST ANNUALLY, the annual interests that remain unpaid shall be subject to simple interest, from the time they become due to the time of final settlement; but if in any year, reckoning from the time such annual interest began to accrue, payments have been made, the amount of such payments at the end of such year, with interest thereon from the date of payment, shall be applied: first, to liquidate the simple interest that has accrued upon the unpaid annual interests; secondly, to liquidate the annual interests that have become due; and thirdly, to the extinguishment of the principal.”

$3458.

EXERCISES.

BRADFORD, VT., Sept. 13, 1869. 1. For value received, I promise to pay E. W. Colby or order three thousand four hundred and fifty-eight dollars, on or before the first day of January, 1878, with interest. SAMUEL S. GREEN.

Indorsed as follows: Dec. 16, 1870, $100; May 1, 1871, $1000; Jan. 13, 1874, $85; April 13, 1876, $450.75. What was due Jan. 1, 1878?

$872.

Ans. $3239.90.

ST. JOHNSBURY, VT., Nov. 22, 1868. 2. For value received, I promise to pay James Ferguson or order eight hundred and seventy-two dollars, on demand, with interest annually. SYLVANUS E. BOYLE.

Indorsed as follows: April 4, 1869, $28; July 10, 1872, $94.40; Dec. 10, 1874, $6.72; Jan. 14, 1877, $396.

What was due Dec. 28, 1878 ?