I.

Review.

LESSON XII.

If to a certain number you add its & and its + 45, the number will be trebled. What is the number?

2.

A rides 30 miles in 24 hr., B 40 mi. in 2 hr. How far will B go while A rides 52 miles?

3. A can do a piece of work in of a day, B can do the work in a day. In what time can both do a piece 10 times as large?

4. Three men bought a horse for $70. After keeping him six weeks, at $3.33 a week, and hiring him out for $54, they sold him for $96. What did each gain?

5. If 15 peaches are worth 90 apples, and 7 apples are worth 28 plums, how many plums should be given for IO peaches?

6. The time past noon 4 hours of the time to midnight? What is the time of day?

7. Mary's age is of Nellie's, and the sum of their ages is 12 years more than twice the age of Nellie. How old is each?

8. A has as many chickens as B, and ‡ of A's+45 B's number. How many chickens has each?

9. A horse, mule, and cow together cost $270. The cow cost $30 less than the mule, and the horse cost $30 more than both mule and cow. What did each cost?

IO. A and B together can do a piece of work in 3 days. If B does as much as A, in what time can each do the work?

II. In a pasture there are 102 sheep and cows, and of the cows= of the sheep. How many of each are

there?

12.

If 12 horses can be kept on 8 acres for 7 mo., how many mo. will 6 acres supply 9 horses?

13. The age of A is twice the age of B, and of B's age+ 36 yr. 1 times A's. How old is each?

14. If 10 men can build a wall in 6 da., in what time will it be finished if 10 more men assist them when the work is completed?

15.

rowed

$84.

A man spent of his money. He then boras much as he had remaining, after which he had How much had he at first?

16. A son is 44 yr. younger than his father. The son's age is of the father's. How old is each?

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17. Blake has a certain distance to travel. having gone 13 miles, there remain

After

of the distance. When he has traveled of the remainder, how far must

he then go?

18. A poulterer sold a number of ducks and geese. The geese were of the entire number, or 28 less than the ducks. How many of each did he sell?

19. If Ellis had as many dollars more, and $15 besides, he would have $140. How much has he?

20. A and B travel in opposite directions, A at the rate of 75 miles in 8 hr., B at the rate of 60 miles in 71 hr. How far apart will they be when B has traveled 72 miles.

21. Charles is he will be as old.

as old as his father, but in 8 years What are their ages at present?

22. C and D rented a pasture for $75. C put in 8 horses for 4 mo., D 10 cows for 6 mo. What should each pay, if 4 horses eat as much as 5 cows?

23. A can do a piece of work in 3 da., B a piece twice as large in 9 da. In what time can both do a piece 31 times as large as the first?

24. C's chain cost as much as his watch. Twice

the price of the watch + 3 times the price of the chain 5 times the cost of his suit of clothes, which was $50. Find the cost of the watch and the chain.

25. of A's money of B's, and of their sum is $60. How much has each?

26. If 16 oxen can be kept on 8 acres for 4 mo., how many sheep can be kept on 9 acres for 6 mo., if 10 sheep eat as much as I ox?

27. If 25 gal. per hour run into a vessel whose capacity is 60 gal., and 45 gal. run out in 2 hr., in what time will the vessel be filled?

28. If 15 peaches are worth 60 apples, and 7 apples are worth 35 plums, how many plums should be given for 5 peaches?

29. On counting their money it was found that B had $15 less than A, and that of A's of B's. How much money had each?

30. Charles bought a number of eggs at 1 cent each, and twice as many at 11⁄2 cents each. He sold them at 20 How many eggs

cents a dozen, and gained 50 cents. had he?

31. A travels 27 miles in 4 hr., B 30 mi. in 3 hr. When A has gone 45 miles, how far is B ahead of him?

32. If of Elmore's money be increased by $40, he will have as much as Curtis. Together they have $200. How much has each?

33. If a five-cent loaf weighs 6 oz. when flour is $5 a barrel, what should be the value of a barrel when the loaf weighs 8 oz.?

34. A laborer agreed to work a certain number of days at $1.75 a day, and to pay 50 cents a day for board when idle. If his board cost him $4, and he received $52 in cash, for how many da. was he hired?

35. A is 24 steps ahead of B, and takes 7 steps while

B takes 6. But 4 of B's 5 of A's. How many steps must B take to overtake A?

36. The time past noon + 6 hr. midnight. What is the time of day? 37. B has twice as much as much as A and B + $10. How much has each?

of the time to

money as A+ $4. C has Together they have $72.

38. If 9 oxen can eat 5 acres of grass in 10 days, in how many days can 8 oxen eat 12 acres?

39.

of A's. 40.

If $10 be added to B's money, the sum will Together they have $68. How much has each? The age of A is 24 times the age of B, and of B's 's age + 32 yr.= 1 times A's age. How old is each? 41. Harry has as many marbles as Stephen, and of Stephen's + 56 marbles Harry's number. How many

has each?

42. The time past noon= also, the time past noon:

What are the hours?

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of the time to midnight; of the time past midnight.

43. If I men can do a piece of work in 17 da., how many can do a piece 5 times as large in of the time? 44. A farmer sold of his hogs. He afterward as many as he had remaining, and then had 80 How many did he sell?

bought hogs.

45. If $10 be taken from of C's money, the remainder will D's. Together they have $50. How much has each?

46. If to Mr. Jones's age its ,, and 36 years be added, his age will be trebled. How old is he?

47. If 14 oxen can be kept on 7 acres for 5 mo., how many sheep can be kept on 9 acres for 6 mo. if 8 sheep eat as much as I ox?

48. A and B rented a pasture for $98. A put in 10 horses, B 100 sheep and 21 cows. What should each

pay if a horse eats as much as 10 sheep, and 5 horses as much as 7 cows?

49. A receives 56 cents for 2 hours' work, B 108 cents for 3 hours' work. How much will both have earned when B has earned 112 cents?

50. If 12 oranges are worth 60 pears, and 12 pears are worth 60 plums, how many oranges should be given for 500 plums?

51. Bought a number of apples at 2 for 1 cent, and as many more at 3 for 1 cent. By selling all at 3 for 2 cents, I gained 15 cents. How many apples did I buy?

52. If 12 gal. per minute run into a vat which will hold 150 gal., and 163 gal. run out in 2 minutes, in what time will the vat be filled?

53. A and B entered into partnership for 15 mo. A put in $250, and B $300. How much more must A put in at the end of 12 mo. to receive half of the profits?

54. A's share of a fortune was, B's, C's the remainder. If B received $1000 more than C, what was the share of each?

55. A, B, and C rented a pasture for $75. A put in 10 horses for 3 mo., B 8 cows for 5 mo., C 25 sheep for 6 What should each pay, if a horse eat as much as 5 sheep, and 3 horses as much as 4 cows?

mo.

56. John bought 5 peaches, James 6, and Henry 9, for which they paid 1 cent apiece. They were joined by Robert, and each ate an equal number. Robert gave the other boys 10 cents for his share. How should the money have been divided?

57. A and B together had 50 cents. A said to B, "Give me 5 cents, and I shall have as much as you have left." How many cents had each?

58. A, B, and C together can do a piece of work in 6 da., A and B in 9 da., and B and C in 12 da. In what time can each do the work?