5. If 17 pounds of sugar cost $1.19, what will 365 pounds cost? Ans. $25.55. 6. If 16 acres of land cost $720, what will 197 acres cost? Ans. $8865. 7. If $8865 buy 197 acres, how many acres may be bought for $720? Ans. 16. 8. What will 84hhd. of molasses cost, if 15hhd. can be purchased for $175.95 ? Ans. $985.32. 9. If $100 gain $ 6 in 12 months, how much would it gain in 40 months? Ans. $20. 10. If a certain vessel has provisions sufficient to last a crew of 10 men 45 days, how long would the provisions last if the vessel were to ship 5 new hands? Ans. 30 days.

.

11. If 7 and 9 were 12, what, on the same supposition, would 8 and 4 be? Ans. 9. 12. If 9 men can perform a certain piece of labor in 17 days, how long would it take 3 men to do it? Ans. 51 days. 13. If 3 men can perform a piece of labor in 51 days, how many must be added to the number to perform the labor in 17 days? Ans. 6. 14. How much in length, that is 5 rods in breadth, is sufficient for an acre? Ans. 29 rods. 15. If 2 barrels of flour cost $12, what will 24 barrels cost? Ans. $144. 16. If 5 quintals of fish cost $16.25, what is the value of 75 quintals? Ans. $243.75. 17. If 2 cords of wood cost $11.50, what will 17 cords cost? Ans. $97.75. 18. If 7cwt. of iron cost $ 56.85, what will 49cwt. cost? Ans. $397.95.

19. If 5 acres of land be valued at $375.75, what would be the value of 35 acres? Ans. $2630,25. 20. If 7 pairs of shoes cost $10.50, how many pairs will $ 52.50 buy?

Ans. 35.

21. If $4.75 be paid for 191b. of salmon, how many pounds will $25.50 buy? Ans. 102lb.

22. If a man travels 48 miles in 6 hours, how far will he travel in 24 hours? Ans. 192 miles. 23. If 8 men eat a barrel of flour in 24 days, how long would it last 3 men? Ans. 64 days. to make 17 teaounces ?

24. If 7 ounces of silver are sufficient spoons, how many may be made from 42

Ans. 102.

25. If $100 gain $6 in a year, how much will $850 gain? Ans. $51. 26. If $100 gain $6 in a year, how much would be sufficient to gain $32 in a year? Ans. $533.334. 27. If 20 gallons of water weigh 167lb., what will 180 gallons weigh? Ans. 1503lb. 28. If a staff 3 feet long cast a shadow 2 feet, how high is that steeple whose shadow is 75 feet? Ans. 112 feet. 29. If 5gcwt. be carried 36 miles for $4.75, how far might it be carried for $160? Ans. 12121 miles. 30. If 100 workmen can finish a piece of work in 12 days, how many men are sufficient to finish the work in 8 days?

Ans. 150.

31. If of a yard cost of a dollar, what will of a.

yard cost?

'yd. yd.

12:1:: 70

Ans. $0.48.

XX=438=45%=$0.48 Ans.

analysis, we would proceed of a dollar, would cost costo, 1 will cost 12 times And if one yard cost of a of a dollar, and will cost 4 cost 4 times, which is 1=

To perform this question by thus: -If of a yard cost of $, which is ; and if 2b, which is = of a dollar. dollar, of a yard will cost times as much, that is, it will $0.48, as before.

32. If of a yard cost of a £., what cost?

33. If 4 yards cost $9.75, what will 13

34. How much in length, that is 2 a square foot ?

will of a yard Ans. 1. 1s. Od. yards cost?

Ans. $29.25. inches wide, will make Ans. 57 inches.

35. If of a ship cost 51£., what are

of her worth? Ans. 10. 18s. 6 d.

36. A merchant bought a number of bales of velvet, each containing 12917 yards, at the rate of $7 for 5 yards, and sold them out again at the rate of $11 for 7 yards, and gained $200 by the bargain; how many bales were there? Ans. 9 bales.

37. If the moon moves 13° 10′ 35′′ in one day, in what time does she perform one revolution? Ans. 27da. 7h. 43m.+ 38. If 7lb. of sugar cost of a dollar, what are 12lb. worth? Ans. $1.284. 39. If $1.75 will buy 7lb. of loaf-sugar, how much will $213.50 buy? Ans. 7cwt. 2qr. 14lb. 40. If 7 ounces of gold are worth 30£., what is the value of 7lb. 11oz.? Ans. 407£. 2s. 10 d.

41. My friend borrowed of me $500 for 6 months, promising me like favor; soon after, I had occasion for $ 600; how long should I keep it to receive full compensation for the kindness? Ans. 5 months.

42. If the penny loaf weighs 7oz. when flour is $8 per barrel, how much should it weigh when flour is $7.50 per barrel? Ans. 775 ounces.

43. If a regiment of soldiers consisting of 1000 men were to be clothed, each suit containing 3 yards of cloth, that is 17 yards wide, and to be lined with flannel 14 yards wide, how many yards will it take to line the whole ? Ans. 5625yd. 44. If 9 yards of broadcloth cost $113, what will 16 ells English cost?

Ans. $24. 45. A merchant failing in trade owes in all-$17280; his effects are sold for $15120; what does he pay on a dollar, and what does A receive, to whom he owes $ 5670?

Ans. He pays $ 0.874 on the dollar; A receives $ 4961.25. 46. Bought in London 57 yards of broadcloth for 49 guineas, 28 shillings each; what did it cost per ell English?

Ans. 1. 10s. 1d. 47. Bought a cask of wine, at $1.15 per gallon, for $100; how much did it contain? Ans. 86gal. 3qt. 11pt. 48. A merchant bought 9 packages of cloth for $34560, each package containing 8 parcels, each parcel 12 pieces, and each piece 20 yards; what was the price per yard?

Ans. $2.00.

49. If 75 gallons of water fall into a cistern containing 500 gallons, and by a pipe in the cistern 40 gallons run out in an hour, in what time will it be filled ? Ans. 14h. 17m. 8 sec.

50. How many dozen pairs of gloves, at $0.56 per pair, may be, bought for $120.96? Ans. 18doz. 51. A certain cistern has three pipes; the first will empty it in 20 minutes, the second in 40 minutes, and the third in 75 minutes; in what time would they all empty it?

Ans. 11m. 1913sec.

52. A can mow a certain field in 5 days, and B can mow it in 6 days; in what time would they both mow it? Ans. 2 days.

53. A wall, which was to be built 32 feet high, was raised 8 feet by 6 men in 12 days; how many men must be employed to finish the wall in 6 days? Ans. 36 men.

54. A can build a boat in 20 days, but with the assistance of C he can do it in 12 days; in what time would C do it himself? Ans. 30 days. 55. In a fort there are 700 men provided with 184000lb. of provisions, of which each man consumes 5lb. a week; how long can they subsist? Ans. 52 weeks 4 days.

56. If 25 men have of a pound of beef each three times in a week, how long will 3150lb. last them? Ans. 56 weeks. 57. How many tiles 8 inches square will lay a floor 20 feet long, and 16 feet wide?

Ans. 720. 58. How many stones 10 inches long, 9 inches broad, and 4 inches thick, would it require to build a wall 80 feet long, 20 feet high, and 24 feet thick? Ans. 17280 stones.

59. Bought threescore pieces of Hollands for three times as many dollars, and sold them again for four times as many dollars; but if they had cost me as much as I sold them for, for what should I have sold them to gain at the same rate?

Ans. $320.

60. A sets out on a journey, and travels 27 miles a day; 7 days after, B sets out and travels the same road 36 miles a day; in how many days will B overtake A ? Ans. 21 days.

61. If I sell coffee at 2s. 3d. per lb. and gain 35 per cent., what did I give per lb. ?

Ans. 1s. 8d.

62. A detachment of 2000 soldiers were supplied with bread sufficient to last them 12 weeks, allowing each man 14 ounces a day; but on examination find 105 barrels, containing 200lb. each, wholly spoiled; how much a day may each man eat, that the remainder may supply them 12 weeks? Ans. 12oz.

63. In consequence of having a seventh part of their bread spoiled, 2000 soldiers were put on an allowance of 12 ounces of bread per day for 12 weeks; what was the whole weight of their bread (good and bad), and how much was spoiled?

Ans. The whole weight, 147000lb.; spoiled, 21000lb. 64. Two thousand soldiers, having lost 105 barrels of bread, weighing 200lb. each, were obliged to subsist on 12 ounces a day for 12 weeks; but had none been lost, they might have had 14 ounces a day for the same time. What was the whole

weight, including what was lost, and how much had they left. to subsist on ?

Ans. The whole weight, 147000lb.; left to subsist on, 126000lb.

65. If 2000 soldiers, after losing one seventh part of their bread, had each 12 ounces a day for 12 weeks, what was the whole weight of their bread, including that lost, and how much might they have had per day, each man, if none had been lost? Ans. The whole weight was 147000lb.; the loss, 21000lb. had none been lost, they might have had 14 ounces per day. 66. If .85 of a gallon of wine cost $2.72, how much will .25 of a gallon cost? Ans. $0.80. 67. If 61.3 pounds of tea cost $44.9942, what is the price per lb. ? Ans. $0.73,4. 68. What is the value of .15 of a hogshead of lime, at $2.39 per hhd. ? Ans. $0.35,85. 69. If .75 of a ton of hay cost $15, what is it

per ton? Ans. $20.

70. How many yards of carpeting that is half a yard wide. will c cover a room that is 30 feet long and 18 feet wide? Ans. 120 yards. 71. If a man perform a journey in 15 days when the day is 12 hours long, in how many days will he do it when the day is but 10 hours long? Ans. 18 days.

72. If 450 men are in a garrison, and their provisions will last them but 5 months, how many must leave the garrison that the same provisions may be sufficient for those who remain 9 months? Ans. 200 men.

73. The hour and minute hands of a watch are together at 12 o'clock; when will they next be together?

Ans. 1h. 5m. 27 sec. 74. A and B can perform a piece of work in 5 days, B and C in 63 days, and A and C in 6 days; in what time would each of them perform the work alone, and how long would it take them to do the work together?

Ans. A would do the work in 10 days; B, in 12 days; C, in 15 days; A, B, and C, together, in 4 days.

75. A, B, and C can perform a piece of work in 4 days, B can do it in 12 days, C can do it in 15 days; in what time would A and B perform the labor? Ans. 5 days.

76. How many bricks 8 inches long, 4 inches wide, and 2 inches thick, will it require to build the walls of a house which is 46 feet long, 28 feet wide, and 25 feet high, and the walls to be 18 inches thick ? Ans. 143,775 bricks.