39. of a basket of eggs were sold for $6. What was the value of the entire basket?

40. At $ 45 an acre, how much land will $ 25 buy?

41. If of a factory is worth $ 6300, what is the value of the factory?

42. A man who owed $7825 failed, and could pay only g of his debts. How much could he pay 7?

43. A man lost of his money and had $210 left. How much had he at first?

44. If

of a merchant's capital is $35,000, what is his entire capital?

45. If a man can do a piece of work in 24 days, what part of it can he do in 18 days?

46. In my pasture are 75 sheep, which is of all my sheep. How many sheep have I?

47. Henry runs 540 yards, which is as far as Frank How far does Frank run?

runs.

48. A barrel can be filled by a pipe in 40 minutes. What part of a barrel can be filled in 25 minutes?

49. A bushel contains 32 quarts, and a peck 8 quarts. What part of a bushel is a peck?

50. I bought a house and lot, and made a payment of $4500, which was of the cost. What was the cost of the property?

MISCELLANEOUS REVIEW OF COMMON FRACTIONS.

137. Oral.

1. Add and

; and ; and ; and ; and §;

† † }

3. Reduce to improper fractions 31, 7, 8, 5, 74, 85,

16, 15.

4. Reduce to integers or mixed numbers 15, 17, 15, 11,

5. Multiply 16 by ; 45 by ; 18 by 7; 45 by 1;

by 9; 7 by 32; 15 by 16; 7 by 27.

6. Find product of:

× 21; 41 × 63.

7. Find

7 of 40.

×; 1 × 12; 31 × 11; 8 × 15;

of 24; of 12; § of 30; 7 of 27; † of 45;

8. Find of; of §; 4 of ; of; of 14; of 21.

by 4; 5 by 12;

9. Divide by 3; by 11; 4 by 3; 7 by 6; 43 by 6; 10 by ; 8 by 7; 18 by 8; † by 22;

by 9.

10. Divide 4 by ; 8 by ; 9 by ; 16 by ; 24 by ; 13 by; 11 by ; 12 by 13.

11. Divide by ; 5 by 21.

by 2; 5 by ; by 1; 8 by 1; 7 by &;

12. Divide 1 by :

1, 1, 1, 15, 1, 25, 10, 4, 7.

NOTE. 1 divided by a fraction equals that fraction inverted.

18. Change to 24ths; to 15ths; to 32ds; & to 20ths.

19. A man owning

What part did he sell?

of a farm, sold of his share. How much remains?

20. At 121 ¢ a dozen, how many dozen of eggs can I buy for $3?

21. At 61 a box, how much will 8 boxes of berries cost?

22. John has 56 cents, and James as much. How much have both?

23. A can do a piece of work in 4 days; B can do the same piece of work in 2 days. What part of the work can each do in a day?

24. A can mow a field in 3 days, and B in 4 days. What part of the field can they mow in a day if both work together?

A can mow } of it in 1 day, and B can mow of it in 1 day. Both working together can mow the sum of and of it in 1 day.

=

25. C can do a piece of work in 2 days, and D can do it in 4 days. In what time can they both do it, working together?

.

C does of it in 1 day, and D of it in 1 day. can do += of it in 1 day. Since both can do it will take as many days to do, or the whole of it, as times in, or 13 days. Ans.

NOTE.

Therefore both

of it in 1 day, is contained

divided by gives the same result as 4 divided by 3.

26. of my money is gold, and as much is silver. What part of my money is silver?

27. If a boy can earn $2 in 1 week, how much can 3 boys earn in 4 weeks?

28. James sold a book for 28 cents, which was of what it cost him. What did it cost him?

29. The difference between of a number and of it is 6. What is the number?

30. A boy 12 years of age is as old as his father. How old is his father?

Written.

31. A farmer having 1200 bushels of potatoes sold of them at one time, at another, and 350 bushels at another. How many bushels had he left?

32. A mechanic whose wages are $5 per day uses of his weekly earnings for board, and for clothing and other expenses. How many dollars does he save weekly?

33. Which is greater and how much, 1 or 14?

34. If it takes 27 days to do a piece of work, how long will it take to do of it?

35. If a horse is worth $100, and a cow is worth as much as the horse, what is the cow worth?

36. John has in the bank $45 and draws out of it. How much remains in the bank?

37. What will 16 pair of shoes cost at $37 a pair?

38. If a farmer has 23 sheep and sells them at $3% apiece, how much does he receive for the sheep?

39. What is the cost of

pound?

of a pound of cheese at 10 a

40. What is the cost of of a yard of cloth at $11 a yard?

42. What is the value of 31 of 83 of 3 of 18?

43. A man sold 33 tons of hay at one time, 7% at another, and enough the third time to make 20 tons.

tons did he sell the third time?

How many

44. plus plus plus and how many more wil make 3?

of an acre to

45. A man having a farm of 96 acres sold one man, of an acre to another, of an acre to another, and of an acre to another. How many acres had he left?

46. If two men were 90 miles apart, and each should travel 23 miles toward the other, how many miles would they then be apart?

47. If George has of a dollar and of a dollar, and Henry has of a dollar and of a dollar, which has the

greater amount, and how much?

48. A man bought 3 loads of wood containing respectively 14 cords, 13 cords, and 1ğ cords. How many cords of wood did he buy?

49. I paid $10 for hay, $15 for coal, and $61 for wood. What did I pay for all?

50. Mr. Jones paid $5254 for a span of horses, and sold them for $625g. How much did he gain?

51. L. W. and J. E. Connell paid $45007 for a store and its contents. They sold it for $50253. How much did they gain by the operation?

2

52. A, B, C, D, and E own respectively, 3, §, 1%, and acres of land. How much do they all own?

53. A gentleman having $1700 paid $8251 for horses, $230 for cows, $1507 for oxen, and $4075 for sheep. How much money had he left?

54. Mr. Blanchard paid $6 for shovelling his walk, $5 for trimming his grape-vines, and $6 for sifting his ashes. He gave the man a 20-dollar bill and a dollar bill. How much money should Mr. B. receive in return?

55. If I add 2 to each term of the fraction, will its value be increased or diminished, and how much?