Applications in the Fundamental Rules.

1. What will it cost to build a wall 96 rods long, at $1.33 a rod?

2. A farmer wishes to put 1066 bush. 2 pk. of potatoes into 474 barrels: what quantity must he put into each barrel?

3. How many barrels of apples, each containing 2 bushels, can I buy for $36, at 45 cents a bushel?

4. The quotient arising from a certain division is 1236; the divisor is 375, and the remainder 184: what is the dividend?

5. The Croton Water Works of New York are capable of discharging 60000000 gallons of water every 24 hours: what is the average amount per minute?

6. The population of the United States in 1850 was 23191876. It is estimated that one person in every 400, dies annually from intemperance how many deaths may be attributed annually to this cause in the United States?

7. If a quantity of provisions lasted 25 men 2 mo. 3 wk. 6 da., how long would it have lasted 10 men?

8. If a man's salary is $1200 a year, and his expenses are $640, how many years will be required to save $6720?

9. How long will it take to count 20 millions, at the rate of 80 per minute?

10. If 3160 barrels of pork cost $47400, how many barrels can be bought for $11475?

11. What will be the cost of 6 firkins of butter, each containing 96 pounds, at 12 cents a pound?

12. What will 1000 quills cost, at cent apiece?

13. What will be the cost of 85 yards of cloth, at $9 a yard?

14. What will be the cost of 1 hhd. 2 gal. 3 qt. of brandy, at 56 cents a quart?

15. What will be the cost of 196 yards of cotton goods, at 1s. 6d. per yard?

16. At 2s. 8d. per bushel, what will 1246 bushels of oats cost?

17. If 112 lb. of cheese cost £2 16s., what is that per pound? 18. What will be the cost of 1426 pounds of hay, at $9.75 per ton?

19. How much must I pay for the transportation of 3840 pounds of iron, from Albany to Buffalo, at $4.50 per ton?

20. Bought 124 bbl. of potatoes, each containing 21 bush., at 33 cents a bushel: what was the cost?

21. There are three numbers, whose continued product is 16200 0; one of the numbers is 25; another, 18: what is the third number?

22. If 1 pwt. of gold is worth 92 cents, what would be the weight of $10059.28 in gold?

23. A man sold his house and lot for $4200, and took his pay in railroad stock, at 84 dollars a share: how many shares did he receive?

24. A person bought 640 acres of land, at 15 dollars an acre. He afterwards sold 160 acres, at 20 dollars an acre; 240 acres, at 18 dollars an acre; and for the remainder he received $4560. What was his entire gain, and what did he receive per acre on the last sale?

25. A piece of ground, 60 feet long and 48 feet wide, is inclosed by a wall 12 feet high, and 2 feet thick: how many cubic feet in the wall?

26. What will be the cost of transportation from Montreal to Boston of 325640 feet of lumber, at $2.371⁄2 per thousand?

27. Bought 684 pounds of hay, at $12.40 a ton: what did it cost me?

28. At $2.12 a hundred, what will 786 feet of lumber cost?

29. How many shingles will it require to cover the roof of a building 40 feet long and 26 feet wide, with rafters 16 feet long, allowing one shingle to cover 24 square inches?

- 30. If 14 lb. 8 oz. 12 pwt. 3 gr. of silver be made into 9 teapots of equal weight, what will be the weight of each?

31. A man bought 320 barrels of flour for $2688: at what rate must he sell it to gain $1.60 on each barrel?

-32. A farmer has a granary containing 449 bush. 1 pk. 2 qt. of wheat; he wishes to put it into 182 bags: how much must he put into each bag?

33. A trader bought 750 barrels of flour, for which he paid $4875; he sold the same for $7.25 a barrel: what was his profit on each barrel?

34. How many sheep, at $1.62 a head, can be bought for $169?

35. How many canisters, each holding 3 lb. 10 oz., can be filled from a chest of tea containing 58 lb. ?

36. In 26 hogsheads the leakage has reduced the whole amount to 1358 gal. 2 qt.; if an equal quantity has leaked out of each hogshead, how much still remains in each?

37. A man bought a piece of land for $3475.25, and sold it for $3801.65, by which transaction he made $3.40 an acre: how many acres were there?

38. The whole amount of gold produced in California in the year 1855, was as follows: $43313281, sent to the Atlantic States; $6500000, sent directly to England; and $8500000 retained in the country. In 1854, the total product of gold in California was $57715000: how much more was produced in 1855 than in 1854?

39. If the forward wheels of a carriage, are 12 feet in circumference, and the hind wheels, 16 feet 6 inches, how many more times will the forward wheels turn round than the hind wheels, in running a distance of 264 miles?

40. If a certain township is 9 miles long, and 4 miles wide, how many farms of 192 acres each does it contain?

41. The total number of land warrants issued during the year ending September 30, 1855, was 34337, embracing 4093850 acres of land what was the average number of acres to each warrant?

42. The longitude of Philadelphia is 75° 10′, and that of New Orleans 89° 2′, both west: when it is 12 M. at Philadelphia, what is the time at New Orleans?

43. The sun passes the meridian at 12 M., the moon at 8 hr. 30 m. P. M.: what is the difference in longitude between the sun and moon?

44. Two persons, A and B, observed an eclipse of the moon; A observed its commencement at 9 hr. 42 m. P. M.; B was in longitude 73° 20', and observed its commencement 23 minutes earlier than A: what was A's longitude, and B's time of observation?

45. If in 11 piles of wood there are 120 cords 7 cord feet 5 cubic feet, how much is there in each pile?

46. If 16 cwt. 2 qr. 11 lb. 10 oz. of flour, be put into nine barrels, how much will each barrel contain?

47. A miller bought a quantity of wheat for $625.40, which he floured and put into barrels at an expense of $110.12: what profit did he make by selling it for $900?

48. America was discovered October 11, 1492: how long to the commencement of the Revolution, April 19, 1775?

49. From a hogshead of wine, a merchant draws 18 bottles, each containing 1 pt. 3 gi.; he then fills three 6-gallon demijohns, and 4 dozen bottles, each containing 2 qt. 1 pt. 3 gi.: how much remained in the cask?

50. In 753689 yards, how many degrees and statute miles? 51. In 189 m. 3 fur. 6 rd. 1 ft., how many feet?

52. If 24 men can build 768 rods of wall in 1 day, how many rods can 48 men build in 9 days?

53. A certain number increased by 1764, and the sum multiplied by 209, gives the product of 7913576: what is the number?

54. If a man travels 146 mi. 7 fur. 14 rd. 14 ft. in 5 days, how much is that for each one half-day?

55. If 325 acres of land costs $17712.50, how many acres can be bought for $545?

56. A merchant having $324, wishes to purchase an equal number of yards of two kinds of cloth; one kind was worth 4 dollars a yard, the other was worth 5 dollars a yard: how many yards of each can he buy?

57. From one-fourth of a piece of cloth, containing 68 yd. 3 qr., a tailor cut 5 suits of clothes: how much did each suit contain?

58. A manufacturer having £5 10s., distributed it among his laborers, giving every man 18d., every woman 12d., and every boy 10d.; the number of men, women, and boys was equal: what was the number of each?

59. It is estimated that 1 out of every 1585 persons in Great Britain is deaf and dumb. The population, according to the census of 1851, was 20936468: how many deaf and dumb persons were there in the entire population?

60. A grocer, in packing 6 dozen dozen eggs, broke half a dozen dozen, and sold the remainder for 1 cents a piece: how much did he receive for the eggs?

61. How much time will a man save in 50 years, beginning with a leap year, by rising 45 minutes earlier each day?

62. During the year 1855, there were shipped to Great Britain from the United States, 408434 barrels of flour; 2550092 bushels of wheat; 1048540 bushels of corn. Supposing the flour to have sold for $10.25 a barrel, the wheat for $2.12 a bushel, and the corn for $0.94 a bushel, what was the value of the whole?