North American Arithmetic

39. A trader has three bundles of bank notes;-23 dollars in one bundle, 15 dollars in another, and 34 dollars in another; but in one of the bundles there is a note of 5 dollars, which is counterfeit. How many dollars of good money has he?

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40. Stephen has lost 30 cents, and has found 10 cents; he now has 18 cents. How much had he at first?

41. A farmer went to the city with 8 barrels of cider, which he sold at 4 dollars a barrel. He then purchased 3 hogsheads of salt, at 3 dollars per hogshead, and paid an old debt of 12 dollars. How many dollars had he to carry home?

42. If I pay 3 dollars apièce for 7 umbrellas, and 6 dollars apiece for 6 hats, for how many dollars must I sell the whole, in order to gain 7 dollars?

43. A man borrowed 75 dollars, and the next day paid all but 14 dollars of it. How much did he pay 7? 44. A. spent 5 dollars as often as B. spent 3 dollars. How much did A. spend, while B. spent 27 dollars?

Solution. As many times as 3 dollars are contained in 27 dollars, so many times 5 dollars did A. spend. 3 dollars are contained in 27 dollars 9 times; therefore A. spent 9 times 5 dollars.

45. A man and a boy were gathering corn;-the man gathered 7 rows, in the same time that the boy gathered 4 rows. How many rows would the man gather, while the boy was gathering 32 rows?

46. A man and a boy were digging potatoes;-the man dug 11 bushels in the same time that the boy dug 6 bushels. How many bushels would the boy dig, while the man was digging 55 bushels ?

47. Suppose butter to be worth 12 cents a pound, and tea 42 cents a pound;-how many pounds of butter must be given for 2 pounds of tea?

48. A farmer sold 2 cows at 23 dollars apiece, and 9 sheep at 5 dollars apiece; he received in payment, 3 ploughs at 8 dollars apiece, and the rest in money. How much money did he receive?

49. 4 boys found a purse containing 29 dollars. They paid 2 dollars for advertising it; and, as no owner ap

peared, they agreed to take 6 dollars apiece to themselves, and give the remainder to a poor woman. How much was there remaining for the woman?

50. What sum of money must be divided among 16 men, in order that one man shall receive 4 dollars?

51. Two classes are studying arithmetic. The first class is 81 examples in advance of the second; the second performs 40 examples in a day, and the first, 31. In how many days will the second overtake the first?

52. A lady paid 6 dollars for silk, 9 dollars for cambric, 7 dollars for linen, and then had 13 dollars remaining. How many dollars had she at first?

53. How many barrels of flour, at 6 dollars per barrel, can the baker who has 45 dollars, purchase; and how many dollars will he have remaining?

54. A trader, that has 48 dollars, wishes to buy all the boots he can pay for, at 5 dollars a pair, and then lay out the remainder of his money in shoes, at 1 dollar a pair. How many pairs of boots, and of shoes, must he buy? 55. What sum of money must be divided among 18 men, in order that one man shall receive 7 dollars? 56. Three men made up a purse of 40 dollars. The first man put in 6 dollars, and the second 3 times as much as the first. How much did the third put in?

57. Eliza gave a poor woman 4 cents, Augusta gave her 3 times as much as Eliza, and Lucy 3 times as much as Augusta. How much did the woman receive?

58. If a man dig 30 bushels of potatoes in a day, and a boy 13 bushels, how many bushels will they both dig in a day? How many will they both dig in 3 days?

59. A farmer purchased 15 sheep; he sold 8 of them at 4 dollars apiece, and the remainder at 3 dollars apiece; and then found that he had gained 7 dollars. How much did he give for the sheep?

39. A trader has three bundles of bank notes;-23 dollars in one bundle, 15 dollars in another, and 34 dollars in another; but in one of the bundles there is a note of 5 dollars, which is counterfeit. How many dol

lars of good money has he?

40. Stephen has lost 30 cents, and has found 10 cents; he now has 18 cents. How much had he at first?

41. A farmer went to the city with 8 barrels of cider, which he sold at 4 dollars a barrel. He then purchased 3 hogsheads of salt, at 3 dollars per hogshead, and paid an old debt of 12 dollars. How many dollars had he to carry home?

42. If I pay 3 dollars apièce for 7 umbrellas, and 6 dollars apiece for 6 hats, for how many dollars must I sell the whole, in order to gain 7 dollars?

43. A man borrowed 75 dollars, and the next day paid all but 14 dollars of it. How much did he pay?

44. A. spent 5 dollars as often as B. spent 3 dollars. How much did A. spend, while B. spent 27 dollars?

Solution. As many times as 3 dollars are contained in 27 dollars, so many times 5 dollars did A. spend. 3 dollars are contained in 27 dollars 9 times; therefore A. spent 9 times 5 dollars.

45. A man and a boy were gathering corn;-the man gathered 7 rows, in the same time that the boy gathered 4 rows. How many rows would the man gather, while the boy was gathering 32 rows?

46. A man and a boy were digging potatoes;-the man dug 11 bushels in the same time that the boy dug 6 bushels. How many bushels would the boy dig, while the man was digging 55 bushels?