157. If 5 men can do a piece of work in 5 months by working 7 hours in a day, in how many months will they do it, if they work 10 hours in a day? 158. Two men, A and B, traded in company; A furnished of the stock and B; they gained $864.00; what was each one's share of the gain? 159. Three men, A, B, and C, traded in company; A furnished of the capital; B, and C the rest. They gained $8,453,67; what was each one's share of the dividend? 160. Two men, B and C, bought a barrel of flour together. B paid 5 dollars and C 3 dollars; what part of the whole price did each pay? What part of the flour ought each to have ? 161. Two men, C and D, bought a hogshead of wine; C paid $47.00, and D 53.00; how many dollars did they both pay? What part of the whole price did each pay? How many gallons of the wine ought each to have? 162. Three men, C, D, and E, traded in company; C put in $850.00; D. 942.00; and E, $1,187.00; how many dollars did they all put in? What part of the whole did each put in? They gained $1,353.18; what was each man's share of the gain? 163. Five men, A, B, C, D, and E, freighted a vessel : A put on board goods to the amount of $4,000.00; B, $15,000.00; C, $11,000.00; D, $7,500.00; and E, $850.00. During a storm the captain was obliged to throw overboard goods, to the amount of $13,400.00; what was each man's share of the loss? 164. Three men bought a lottery ticket for $20.00; of which F paid $4.37; G $8.53; and H, the rest. They drew a prize of $15,000.00; what was the share of each? 165. Three men hired a pasture for $42.00; the first put in 4 horses; the second, 6; and the third, 8. What ought each to pay ? 166. A man failing in trade, owes to A $350.00; to B $783.00; to C $1,780.00; to D $2,875.00; and he has only $2,973.00 in property, which he agrees to divide among his creditors in proportion to the several debts. What will each receive? a bushel? What would be the price of 8 bushels at that rate? 3. If of a barrel of flour were to be divided equally among 3 men, how much would each have? 4. If 3 horses consume of a ton of hay in 1 month, how much will 1 horse consume? How much would 11 horses consume in the same time? 5.* If 3 lb. of beef cost of a dollar, what would a quarter of beef, weighing 136 lb., cost at that rate? 6. If 2 yds. of cloth cost 82 dollars, what will 7 yards cost at that rate? 7. If 4 bushels of wheat cost 324 shillings, what will 17 bushels cost? 8. If 3 sheep are worth 233 bushels of wheat, how many bushels is 1 sheep worth? How many bushels are 50 sheep worth at that rate? Note. Reduce 233 to fifths, or divide as far as you can, and then reduce the remainder to fifths, and takeof them. 9. If 7 calves are worth 59% bushels of corn, how many bushels are 15 calves worth at that rate? 10. A man laboured 15 days for 20 dollars; how much would he earn in 3 months at that rate, allowing 26 working days to the month? 11. A man travelled 88 miles in 17 hours; how far did he travel in an hour? * See First Lessons, Sect. XIV. 12. A man travelled 476 miles in 8 days; how far did he travel each day, supposing he travelled the same number of miles each day? 13. Divide 77 bushels of corn equally among 15 men. 14. If 23 yards of cloth cost 175 dollars, what is that a yard? 15. If 35 lb. of raisins cost 385 dollars, what will 2 cwt. cost at that rate? 16. A man divided of a water-melon equally between 2 boys; how much did he give them apiece? 17. Suppose you had of a pine apple and should divide it into two equal parts; what part of the whole apple would each part be? 18. If you divide of a bushel of corn equally between 2 men, how much would you give them apiece? 19. What is of 2? 20. If you divide of a bushel of grain between two men, how much would you give them apiece ? Note. Cut the third into two parts. What will the parts be? 21. What is of ? 22. If you divide of a barrel of flour equally between two men, how much will you give them apiece? 23. What is of } ? 12 24. A man having of a barrel of flour divided it equally among 4 men; how much did he give them apiece? 25. of! that is 26. 13 lb. of sugar cost 27. What is of 1⁄2? 28. If 5 lb. of rice cost of a dollar, what is it a pound? of a dollar, what is that a pound? 29. If 3 lb. of raisins cost of a dollar, what is that a pound? What will 2 lb. cost at that rate? What 7 lb. ? 30. What is of? What is of? What is of? 31. If 7 lb. of sugar cost of a dollar, what is it a pound? What will 5 lb. cost at that rate? What would 15 lb. cost? 32. What is of? What is of ? What is 5 of? 33. During a storm, a master of a vessel was obliged to throw overboard of the whole cargo. What part of the whole loss must a man sustain who owned & of the cargo? 34. A man owned of the capital of a cotton manufactory, and sold of his share. What part of the whole cap ital did he sell? What part did he then own? 35. If 3 bushels of wheat cost 5 dollars, what is it a bushel ? What will 2 bushels cost at that rate? 36. What is of 5? What is of 54? 37. If 4 dollars will buy 52 bushels of rye, how much will one dollar buy? How much will 3 dollars buy? 38. What is of 53 ? What is of 5? 39. If 17 barrels of flour cost $1073, what will 23 barrels cost? 40. What is of 1073? 41. If 12 cwt. of sugar cost $1373, what is the price of 1 qr.? What of 1 lb. ? 42. At 4 dollars for 3 gallons of wine, how much may be bought for 67 dollars? Note. Find how much a dollar will buy. 43. If 3 cords of wood cost 20 dollars, what will 71⁄2 cords cost? 44. If 19 yards of cloth cost 155 dollars, what will be the price of 17 yards? 45. If 18 lb. of raisins cost 2 dollars, what is that per lb.? What would be the price of 53 lb. at that rate? 46. If 11 lb. of butter cost 225 dollars, what will 182 lb. cost? 20 47. If 7 gallons of vinegar cost of a dollar, what will 27 gallons cost? 48. If 1 lb. of sugar cost of a dollar, what will 173 lb. cost? 49. If a yard of cloth cost 7 dollars, what will of a yard cost? 50. At of a dollar a yard, what will of a yard of cloth cost? 51. At 3 shillings a yard, what will 73 yards of riband cost? 52. At 3 dollars a barrel, what part of a barrel of cider may be bought for of a dollar? 53. At 4 dollars a yard, what part of a yard of cloth may be bought for of a dollar? 54. At 2 dollars a yard, how much cloth may be bought for 5 dollars? 55. At 2 dollars a gallon, how much brandy may be bought for 73 dollars? 56. At 3 shillings a quart, how many quarts of wine may be bought for 173 shillings? 57. At 6 dollars a barrel, how many barrels of flour may be bought for 45,3, dollars? 58. If 1 cwt. of iron cost 43 dollars, what will 53 cwt. cost? 59. A man failing in trade can pay only of a dollar on each dollar, how much can he pay on 7 dollars? much on 235 dollars? 60. A man failing in trade is able to pay only pound on a pound, how much can he pay on 17£. 15s.? How of a 61. A man failing in trade is able to pay only 17s. on a pound, what part of each pound will he pay? How much will he pay on a debt of 147£. 14s.? 72. Multiply 135,4 by 243. 73. Multiply 1,6473 by 1723. 74. How many times is 3 contained in 143 ? ? 125 78. What part of 7 is XVIII. 1. If 1 lb. butter cost of a dollar, how much will 2 lb. cost? What will 4 lb. cost? 2. At of a dollar per lb., what will 2 lb. of raisins cost ? What will 3 lb. cost? What will 6 lb. cost? 3. If 1 man will consume of a bushel of corn in a week, how much will 2 men consume in the same time? How |