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

8. How many square metres of plastering in a room 18 ft. 6 in. long, 14 ft. wide, and 9 ft. 6 in. high?

9. 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?

10. Find the weight of a barrel of flour (196 lb.) in Kg.

11. Find the cost of a carpet for a room 10.5 m. long and 8.4 m. wide, if the carpeting is 84 cm. wide and costs $2.75 a meter.

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

13. 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?

14. How many meters of shirting, at $.18 per m., must be given in exchange for 250 Hl. of oats, at $1.20 per Hl. ?

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

16. How many sters of wood can be piled in a shed 8.5 m. long, 5.8 m. wide, and 4.2 m. high? Find its value, at $3.25 a cord.

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

18. Find the cost of excavating a cellar 18.3 m. long, 10.73 m. wide, and 3.4 m. deep, at 20 cents a ster.

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

20. 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?

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

FRENCH AND SPANISH MEASURES.

509. The old French linear and land measures are used quite generally in Louisiana and in other French settlements in the United States.

12 Lines = 1 Inch.

12 Inches

=

1 Foot.

TABLE.

6 Feet = 1 Toise.

32 Toises

=

1 Arpent. 1024 Square Toises = 1 Square Arpent.

The French foot equals 12.79 inches, American meas., nearly. The Arpent is the old French name for Acre, and contains very nearly of an American acre.

EXAMPLE.-A sugar plantation on Bayou Teche, La., has a frontage on the bayou of 17 arpents 11 toises 4 ft. 8 lines, and a depth of 184 arpents 22 toises 3 feet between parallel lines. What is the area in French measure? What is the equivalent in American measure?

Ans.

3237 sq. arpents 354 sq. toises 20 sq. ft. 24 sq. in. Equiv. in Am. meas., 3083 A. 73 P. 73 sq. yd.

510. In Texas, New Mexico, and in other Spanish settlements of the United States, the following denominations of Spanish land measure are almost universally used, outside of incorporated cities, for measuring lands:

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The Spanish foot = 11.11+ in. (Am.); 1 Vara

= 100 Yards; and 1900.8 Varas

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=

1 mile.

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'La-bor" in above tables is accented on the last syllable.

EXAMPLE. A Spanish grant in Texas has a front on the Nueces River of 3 lea., with a depth between parallel lines of 12 lea. on the north boundary line, and of 12 lea. 350 varas on the south boundary line. What is the area in Spanish measure? What is the equivalent in American measure?

Ans.

42 leagues 3 la-bors' 62500 sq. varas.

Equiv. Amer. meas., 291 sq. mi. 295 A. 44 sq. rd. 19 sq. yd. 3 sq. ft. 34.56 sq. in.

SUPPLEMENTARY PROBLEMS.

511. The following practical problems are given for those who desire further application of the principles and rules previously taught.

1. Sold 20900 feet of timber for $339.62, and gained thereby $78.374. What did it cost per C.?

2. What cost 3 T. 17 cwt. 20 lb. of hay, at $223 a ton ?

3. A farmer exchanged 28 bu. of oats worth $.75 per bushel, and 453 lb. of middlings worth $1 per hundred, for 12520 lb. of plaster. What was the plaster worth per ton?

4. Bought 27 bbl. of sugar for $453.75, and sold it at a profit of $4.62 a barrel. At what price was it sold?

5. In £6 10s. 10d. how many dollars U. S. currency? 6. Find the value in Troy weight of 9 lb. 10 oz. Avoir. 7. Find the value in integers of § of 3§ A.

8. A physician bought 1b 103 of quinine at $2.25 an ounce, and dealt it out in doses of 10 gr. at $.12 each. How much more than cost did he receive?

9. How large an edition of an octavo book can be printed from 4 bales 4 bundles 1 ream 10 quires of paper, allowing 8 sheets to the volume?

10. A grocer bought 10 bu. of chestnuts at $3.75 a bushel, and retailed them at $.06 a pint. How much was his whole gain?

11. What length of time will elapse from 40 min. 25 sec. past 12 o'clock, noon, April 21, 1886, to 4 min. 36 sec. before 5 o'clock, A. M., Jan. 1, 1888 ?

12. How many years, months, and days from your birthday to this date?

13. An excavation 58 ft. long, 37 ft. wide, and 6 ft. deep is to be made for a cellar; after 471 cu. yd. 16 cu. ft. 972 cu. in. of earth have been removed, how much more still remains to be taken out?

14. The longitude of Pekin is 118° east, and of Sacramento City 120° west; what is the difference in time?

15. The longitude of Jerusalem is 35° 32' east, and that of Baltimore 76° 37' west; when it is 40 minutes past 6 o'clock A. M. at Baltimore, what is the time at Jerusalem ?

16. Bought 7640 bricks, at $4.75 per 1000; 26789 feet of lumber, at $2.75 per 100; and 986 feet of pine boards, at $20 per 1000; I paid $.35 per 1000 for planing 23463 feet of boards. What was the whole bill?

17. At 20 cents a cubic yard, what will it cost to dig a cellar 32 ft. long, 24 ft. wide, and 6 ft. deep?

18. If the wall of the same cellar be laid 11⁄2 feet thick, what will it cost at $1.25 a perch?

19. A man owns a piece of land which is 105 ch. 85 1. long, and 40 ch. 15 l. wide; how many acres does it contain ?

20. At $3.40 per square, what is the cost of tinning both sides of a roof 40 ft. in length, the rafters being 20 ft. 6 in. long?

21. What is the value of a farm 189.5 rd. long and 150 rd. wide, at $31 per acre?

22. If a load of wood is 12 ft. long, and 3 ft. 6 in. wide, how high must it be to make a cord ?

23. A bin 7 ft. long, 6 ft. wide, and 5 ft. deep is full of rye. What is its value at $1.37 a bushel?

24. Find the cost of 2400 ft. of boards, at $7 per M.; 865 ft. of scantling, at $5.40 per M.; and 1256 ft. of lath, at $.80 per C.

25. Bought 288 bbl. of flour for $1728, and sold one-half the quantity for the same price I gave for it, and the other half for $8 a bbl. What did I receive for the whole ?

26. If 4 bbl. of flour cost $32.30, what will 71⁄2 bbl. cost? 27. If .875 of a ton of coal cost $5.635, what will 94 tons cost?

28. A gardener sold, from his garden, 120 bunches of onions at $.12 a bunch, 18 bushels of potatoes at $.62 per bushel, 47 heads of cabbage at $.07 a head, 6 doz. cucumbers at $.18 a doz.; he expended $1.50 in spading, $1.27 for fertilizers, $1.87 for seeds, $2.30 in planting and hoeing. What were the profits of his garden?

29. Reduce, .621, .371, f, to decimals, and find their

sum.

30. If 8 be added to both terms of the fraction, will its value be increased, or diminished, and how much?

31. If 8 be added to both terms of the fraction 40, will its value be increased, or diminished, and how much?

32. A, B, and C can do a piece of work in 5 da.; B and C can do it in 8 da.; in what time can A do it alone?

33. How many bushels of oats at $3 a bushel, will pay for § of a barrel of flour at $9 a barrel ?

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