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36-24-2

4.

= how many?

Ans. 3

2 X 2

5. There are two numbers; the greater is 25 times 78, and their difference is 9 times 15; their sum and product are required.

Ans. 3765 is their sum; 3539250 their product 6. What is the difference between thrice five and thirty, and thrice thirty-five? 35 X 3-5 X 3+30= 60, Ans. 7. What is the difference between six dozen dozen, and half a dozen dozen? Ans. 792

8. What number divided by 7 will make 6488? 9. What number multiplied by 6 will make 2058'? 10. A gentleman went to sea at 17 years of age; 8 years after he had a son born, who died at the age of 35; after whom the father lived twice 20 years; how old was the Ans. 100 years.

father at his death?

11. What number is that, which being multiplied by 15 the product will be ? ÷152, Ans.

12. What decimal is that, which being multiplied by 15, the product will be "75? 675 ÷ 15 — ‘05, Ans.

13. What is the decimal equivalent to?

Ans. '0285714

14. What fraction is that, to which if you add g, the sum will be ?. Ans. 13

15. What number is that, from which if you take 3, the remainder will be ? Ans. 18.

16. What number is that, which being divided by 2, the quotient will be 21 ? Ans. 15.

17. What number is that, which multiplied by produces? Ans.

18. What number is that, from which if you itself, the remainder will be 12?

take

of

Ans. 20

19. What number is that, to which if you add & of

of

itself, the whole will be 20?

Ans. 12

20. What number is that, of which 9 is the

part? Ans. 13 21. A farmer carried a load of produce to market: he sold 780 lbs. of pork, at 6 cents per lb.; 250 lbs. of cheese, at 8 cents per lb.; 154 lbs. of butter, at 15 cents per lb. :

in

pay he received 60 lbs. of sugar, at 10 cents per lb.; 15 gallons of molasses, at 42 cents per gallon; barrel of mackerel, at $375; 4 bushels of salt, at $125 per bushel; and the balance in money: how much money did he receive? Ans. $68'85.

22. A farmer carried his grain to market, and sold 75 bushels of wheat, at $1'45 per bushel.

64

142

$ '95
$50

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In exchange he received sundry articles :

3 pieces of cloth, each
containing 31 yds., at
2 quintals of fish,
8 hhds. of salt,

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$175 per yd.
$2'30 per quin.
$4'30 per hihd.

and the balance in money.

How much money did he receive?

Ans. $38'80. 23. A man exchanges 760 gallons of molasses, at 37 cents per gallon, for 664 cwt. of cheese, at $4 per cwt.; how much will be the balance in his favour? Ans. $19.

24. Bought 84 yards of cloth, at $125 per yard; how much did it come to? How many bushels of wheat, a $150 per bushel, will it take to pay for it?

Ans. to the last, 70 bushels. 25. A man sold 342 pounds of beef, at 6 cents per pound, and received his pay in molasses, at 374 cents per gallon; how many gallons did he receive? Ans. 5472 gallons.

26. A man exchanged 70 bushels of rye, at '92 per bushel, for 40 bushels of wheat, at $137 per bushel, and received the balance in oats, at $40 per bushel; how many bushels of oats did he receive? Ans. 231

27. How many bushels of potatoes, at 1 s. 6 d. per bushel, must be given for 32 bushels of barley, at 2 s. 6 d. per bushel? Ans. 53 bushels. 28. How much salt, at $150 per bushel, must be given in exchange for 15 bushels of oats, at 2 s. 3 d. per bushel?

Note. It will be recollected that, when the price and cost are given, to find the quantity, they must both be reduced to the same denomination before dividing. Ans. 3 bushels.

29. How much wine, at $275 per gallon, must be given in exchange for 40 yards of cloth, at 7 s. 6 d. per yard?

Ans. 18 gallons.

30. A had 41 cwt. of hops, at 30 s. per cwt., for which gave him 20 £. in money, and the rest in prunes, at 5 d per lb.; how many prunes did A'receive?

B

Ans. 17 cwt. 3 qrs. 4 lbs.

31. A has linen cloth worth $30 per yard; but, in bartering, he will have $35 per yard; B has broadcloth worth $375 ready money; at what price ought the broadcloth to be rated in bartering with A ?

'30 35 375 $4'375, Ans. Or, of 3'75 = $437, Ans. The two operations will be seen to be ex actly alike.

32. If cloth, worth 2 s. per yard, cash, be rated in barter at 2 s. 6 d., how should wheat, worth 8 s. cash, be rated in exchanging for the cloth? Ans. 10 s., or $1'6663. 33. If 4 bushels of corn cost $2, what is it per bushel ? Ans. $50. 34. If 9 bushels of wheat cost $13'50, what is that per bushel ? Ans. $1'50.

35. If 40 sheep cost $100, what is that per head?

$35

30

Ans. $2'50.

36. If 3 bushels of oats cost 7 s. 6 d., how much are they per bushel? Ans. 2 s. 6 d., = $413. 37. If 22 yards of broadcloth cost 21 £. 9 s., what is the price per yard r Ans. 19 s. 6 d., = $3'25 38. At $50 per bushel, how much corn can be bought for $2'00? Ans. 4 bushels. 39. A man, having $100, would lay it out in sheep, at $250 apiece; how many can he buy? Ans. 40. 40. If 20 cows cost $300, what is the price of 1 cow? of 2 cows? of 5 cows? of 15 cows?

Ans. to the last, $225. meat in one week, how 2 men? Ans. to the last, 34 lbs. Note. Let the pupil also perform these questions by the rule of proportion.

41. If 7 men consume 24 lbs. of much would 1 man consume in the same time? 10 men ?

5 men?

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42. If I pay $6 for the use of $100, how much must I pay for the use of $75? Ans. $4'50.

43. What premium must I pay for the insurance of my house against loss by fire, at the rate of per cent., that is, dollar on a hundred dollars, if my house be valued at $2475? Ans. $12'375.

44. What will be the insurance, per annum, of a store and contents, valued at $9876'40, at 14 per centum?

Ans. $148'146. 45. What commission must I receive for selling $478 worth of books, at 8 per cent.? Ans. $38'24.

46. A merchant bought a quantity of goods for $734, and sold them so as to gain 21 per cent.; how much did he gain? and for how much did he sell his goods?

Ans. to the last, $ 888'14. 47. A merchant bought a quantity of goods at Boston, for 500, and paid $ 43 for their transportation; he sold them so as to gain 24 per cent. on the whole cost; for how much did he sell them? Ans. $673'32. 48. Bought a quantity of books for $64, but for cash a discount of 12 per cent. was made; what did the books Ans. $56'32.

cost?

49. Bought a book, the price of which was marked $4'50, but for cash the bookseller will sell it at 33 per cent. discount; what is the cash price? Ans. $3'00. 50. A merchant bought a cask of molasses, containing 120 gallons, for $42; for how much must he sell it to gain 15 per cent.? how much per gallon? Ans. to last, $40. 51. A merchant bought a cask of sugar, containing 740 pounds, for $59'20; how must he sell it per pound, to gain 25 per cent. ? Ans. $10. 52. What is the interest, at 6 per cent., of $71'02 for 17 months 12 days? Ans. $6'178 +. 53. What is the interest of $487'003 for 18 months? Ans. $43'83+.

54. What is the interest of $8'50 for 7 months?

Ans. $297.

55. What is the interest of $1000 for 5 days?

Ans. $8331.

56. What is the interest of $50 for 10 years?

Ans. $30.

57. What is the interest of $84'25 for days, at 7 per cent.?

15 months and 7 Ans. $7486 +.

58. What is the interest of $154'01 for 2 years, 4 months and 3 days, at 5 per cent.?

Ans. $18'032.

59. What sum, put to interest at 6 per cent., will, in 2 years and 6 months, amount to $150?

Note. See ¶ 85. Ans. 130 434 + 60. I owe a man $475'50, to be paid in 16 months with

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out interest; what is the present worth of that debt, the use of the money being worth 6 per cent. ? Ans. $440 277 +

61. What is the present worth of $1000 payable in 4 years and 2 months, discounting at the rate of 6 per cent.? Ans. $800. 62. A merchant bought articles to the amount of $500, and sold them for $575; how much did he gain?

What per cent. was his gain? that is, How many dollars did he gain on each $100 which he laid out? If $500 gain $75, what does $ 100 gain? Ans. 15 per cent.

63. A merchant bought cloth at $3'50 per yard, and sold it at $4'25 per yard; how much did he gain per centum ? Ans. 21 per cent.

64. A man bought a cask of wine, containing 126 gallons, for $283'50, and sold it out at the rate of $2'75 per gallon; how much was his whole gain? how much per gal lon? how much per cent.?

Ans. His whole gain, $63'00; per gallon, $50; which is 223 per centum.

65. If $100 gain $6 in 12 months, in what time will it gain $4? $10? $14?

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Ans. to the last, 28 months. 66. In what time will $54'50, at 6 per cent., gain $2'18? Ans. 8 months.

67. 20 men built a certain bridge in 60 days, but, it being carried away in a freshet, it is required how many men can rebuild it in 50 days.

days. days. men.
60

50

20: 24 men, Ans.

68. If a field will feed 7 horses 8 weeks, how long will it feed 28 horses? Ans. 2 weeks.

69. If a field, 20 rods in length, must be 8 rods in width to contain an acre, how much in width must be a field, 16 rods in length, to contain the same? Ans. 10 rods.

*

70. If I purchase for a cloak 12 yards of plaid § of a yard wide, how much bocking 14 yards wide must I have to line it? Ans. 5 yards.

71. If a man earn $75 in 5 months, how long must he work to earn $460? Ans. 303 months.

72. A owes B $540, but, A not being worth so much money, B agrees to take $75 on a dollar; what sum must B receive for the debt? Ans. $405. 73. A cistern, whose capacity is 400 gallons, is supplied

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