of molasses at 40 cents a gallon, barrel of mackerel at $3.50, 4 bushels of salt at 90 cents a bushel, and the balance in cash. How much money did he receive?

10. A and B commenced business with equal sums of money; A gained a sum equal to of his stock, but B lost $200, and then had only half as much as A. What was the original stock of each?

11. A man was hired for a term of 50 days on conditions, that for every day he worked he should receive 75 cents, and for every day he was idle he should pay 25 cents for his board; at the expiration of the time, he was entitled to $27.50. How many days was he idle?

12. A and B have the same income; A saves of his; but B, by spending $30. a year more than A, at the end of 8 years finds himself $40. in debt. What is their income, and what does each spend a year?

13. A grocer has two sorts of tea; one at 75 cents a pound, and the other at $1.10 a pound. In what proportion must he mix them, in order to afford the mixture at $1. a pound?

14. A and B can do a piece of work in 5 days; A alone can do it in 7 days. In what time can B do it?

15. After A has travelled 51 miles, B sets out to overtake him, and travels 19 miles to A's 16. How many miles will each have travelled, before B overtakes A ?

16. A trader bought a cask of wine, but, in conveying it home, of it leaked out. He sold the remainder, at $2.50 a gallon, and thus received what he paid for the whole. How much per gallon did he give for it?

17. A person having spent in one year all his income and as much more, found that by saving of his income afterward, he could, in 4 years make good the deficiency, and have $20 left. What was his income?

18. A young hare starts 40 yards before a grey-hound, and is not perceived by him till she has been up 40 seconds; she scuds away at the rate of 10 miles an hour, and the hound, in view, makes after her at the rate of 18 miles an hour. How long will the course continue, and what will be the length of it, from the place where the hound set out?

19. A man driving his geese to market, was met by another, who said— 'Good morning, with your hundred geese.' He replied-'I have not a hundred; but if I had half as many more than I have, and two geese and a half, I should have a hundred.' How many had he?

20. If 8 men can build a wall 15 rods long in 10 days, how many men will it take to build a wall 45 rods long in 5 days?

21. A gentleman had £7 17s. 6d. to pay among his laborers; to every boy he paid 6 pence, to every woman 8 pence, and to every man 16 pence; there was one boy to three women, and one woman to two men. What was the number of each?

22. A farmer bought a yoke of oxen, a cow, and a sheep for $82.50; he gave for the cow 8 times as much as for the sheep, and for the oxen 3 times as much as for the cow. How much did he give for each ?

23. The head of a fish was 9 inches long, its tail was as long as its head and half its body, and its body was as long as its head and tail both. What was the whole

length of the fish?

24. The remainder of a division is 325, the quotient 467, and the divisor is 43 more than the sum of both; what is the dividend?

25. A trader bought a hogshead containing 120 gallons of molasses for 42 dollars. At what price per gallon must he sell it, to gain 15 per cent.?

26. Sold goods to the amount of $3120, to be paid one half in 3 months, and the other half in 6 months. How much must be discounted for present payment, when money is worth 6 per cent. a year?

27. A merchant imported 10 tons of iron at 95 dollars per ton; the freight and duties amounted to 145 dollars, and other charges to 25 dollars. At what price per lb. must he sell, to gain 20 per cent.?

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

29. Suppose two steamboats to start at the same time from places 300 miles apart on the same river; the one proceeding up stream is retarded by the current 2 miles

per hour; the other moving down stream is accelerated the same. If each is propelled by a steam engine, that would move it 8 miles an hour in still water, how far from each starting place will the boats meet?

30. Thomas sold 150 pineapples at 33 cents apiece, and took no more money than Harry did for watermelons at 25 cents apiece. How much money did each take, and how many melons had Harry?

31. Seven-eighths of a certain number exceeds fourfifths of the same number by 6. What is the number?

32. If 18 grains of silver will make a thimble, and 12 dwt. a teaspoon, how many thimbles and teaspoons, of each an equal number, can be made from 15 oz. 6 dwt.? 33. What are the superficial contents of a piece of wainscot 8 ft. 6 in. long, and 2 ft. 9 in. broad?

34. A guardian paid his ward $3500. for $2500. which he had in his hands 8 years. What rate of interest did he allow?

35. A set out from Boston for Hartford precisely at the time, when B at Hartford set out for Boston, distant 100 miles: after 7 hours they met on the road, and it then appeared, that A had ridden 11⁄2 mile an hour more than B. At what rate an hour did each travel?

36. A father divided his fortune among his sons, giving A $4 as often as B 3, and C 5 as often as B 6. What was the fortune, supposing A's share to be $5000.?

37. A prize of 945 dollars is to be divided among a captain, 4 men, and a boy; the captain is to have a share and a half; the men each a share; and the boy of a share. What ought each person to have?

38. A person left 40 shillings to four poor widows; viz. to A he left, to B, to C, and to D, desiring the whole might be distributed accordingly. What is the proper share of each ?

39. A person looking on his watch, was asked what was the time of day; he answered-It is between 4 and 5, and the hour and minute hands are exactly together. What was the time?

40. Divide 1200 acres of land among A, B, and C, so that B may have 100 acres more than A, and C 64 acres more than B.

41. What length of a board, which is 83 inches wide, will contain as much as a square foot?

42. What number is that, from which if you take of 3 and to the remainder add of, the sum is 10?

89

43. A can do a piece of work alone in 10 days, and B in 13 days. If both set about it together, in what time will it be finished?

propor

44. A, B, and C were to share $100000. in the tion of,,and, respectively; but C's part being lost by his death, it is required to divide the whole sum properly between the other two.

45. In an orchard of fruit trees, of them bear apples, pears, plums, and 50 of them cherries. How many trees are there in the orchard?

46. A cistern, containing 60 gallons of water, has 3 unequal faucets for discharging it; the greatest faucet will empty it in one hour, the second in two hours, and the third in three hours. In what time will it be emptied, if they all run together?

47. What sum of money will amount to 336 dollars 42 cents in a year and 4 months, at 6 per cent. per annum, simple interest ?

48. A man, when he married, was 3 times as old as his wife; 15 years afterward he was but twice as old as his wife. At what age was each married?

49. Divide 1000 dollars among A, B, and C, so as to give A 120 dollars more, and B 95 dollars less, than C. 50. What fraction is that, to which if of 1⁄2 be added, the sum will be 1?

51. A certain cubical stone contains 389017 solid feet. What are the superficial contents of one side?

52. A father dying left his son a fortune, of which he spent in 8 months; & of the remainder lasted him 12 months longer; after which he had only 1200 dollars left. How much did his father leave to him?

53. Three travellers met at an inn, and two of them brought their provisions along with them; but the third not having provided any, proposed to the other two, that they should all eat together, and he would pay them for his proportion. This being agreed to, A produced 5 loaves,

and B 3 loaves, which the travellers ate together, and C paid 8 equal pieces of money as the value of his share, with which the other two were satisfied, but quarreled about the division of them. Upon this, the affair was referred to an umpire, who decided the dispute justly. What was his decision?

of

of

54. What number is that, which being added to 765, the sum will be equal to the square root of 2601? 55. Two persons talking of their ages, one says, my age is equal to of yours, and the difference of our ages is 10 years. What were their ages? 56. A man bought some lemons at 2 cents each, and as many at 3 cents each, and then sold them all at the rate of 5 cents for 2, and thus gained 25 cents. How many lemons did he buy?

57. There are two cisterns, which are constantly receiving an equal quantity of water; but the first constantly loses of what it receives. After running 7 days, 10 barrels were taken from the second, and then the quantity of water in the two was equal. How much water did each receive per day?

58. A person being asked the time past noon is equal to What o'clock was it?

the hour of the day, said, of the time to midnight.

59. What number, added to 1 of 3813, will make the sum 200?

60. A general forming his army into a square, finds he has 284 soldiers over and above a square; but increasing each side with one soldier, he wants 25 to fill up a square. How many soldiers had he?

61. A reservoir for water has two pipes to supply it; by the first alone it may be filled in 40 minutes, by the second alone in 50 minutes; and it has a discharging pipe, by which it may, when full, be emptied in 25 minutes. Now, if these three pipes were all left open, the influx and efflux of the water being always at the aforesaid rates, in what time would the cistern be filled?

62. Three persons do a piece of work; the first and second together do of it, and the second and third What part of it is done by the

together do

second?

of it.