132

INTELLECTUAL

[SEC. VII.

9. A man having of a cord of wood, gave away of that, and sold the rest; what part of a cord did he give away? What part did he sell? 10. What is 11. Which is 12. What is of ? 3 of 4 ? 13. A merchant owning of his share; what part of the ship did he sell? What part did he keep?

of 4? the most,

of, or of ?

of a ship, sold

of 14 ?

14. What is of 1?
15. What is of
16. What is

?

of

of ?
of?

17. What is of ?
18. A boy having of a melon, gave away of
what he had; what part of a whole melon did he give
away?

Solution. If of a melon is cut into 2 equal parts, each
part is of the whole melon; and if
ofis; therefore, he gave away

of is, then
of the whole

of his share;

melon.

19. A man owning of a ship, sold what part of the whole ship did he sell?

20. A girl having picked of a pailful of blueberries, spilled of them; what part of a pailful did she spill?

of what he

21. A boy having of a dollar, lost had; what part of a dollar did he lose? 22. What is of 2? of? 4 of 1? 23. What is of ? of? To of Z? 24. What is of IT ? of? of 1⁄2? 25. A boy having of a pear, gave away of what he had; what part of a whole pear did he give away? Solution. ofis; therefore, of is; and if ofis, then of is 2 times, which are 1%; therefore, he gave away of the whole pear.

26. Charles had of a dollar, and gave of that for a knife; what part of a dollar did the knife cost?

133

27. If a yard of lace is worth of a dollar, what are of a yard worth?

28. What cost of a bushel of corn, at of a dollar per bushel?

29. A man owning of a ship, sold what part of the whole ship did he sell? did he keep?

of his share; What part

30. If a boy can pick of a bushel of chestnuts in a day, what part of a bushel can he pick in of a day?

31. If a man can reap & of an acre of wheat in a day, what part of an acre can he reap in § of a day? Solution. In of a day he can reap of §, which is of an acre; and in § of a day he can reap 5 times }, which are, of an acre.

32. What cost 3 of a bushel of butternuts, at of a dollar per bushel?

33. What cost of a bushel of corn, at 2 of a dollar per bushel?

34. If a man can mow of an acre of grass in an hour, what part of an acre can he mow in of an hour?

35. If a dozen of oranges are worth 14 of a dollar, what are of a dozen worth?

36. At 1 of a dollar per day, what will a man earn in of a day? 37. If a boy learns

of his lesson in an hour, what part of it does he learn in & of an hour? 38. At of a dollar per rod, what will it cost to build of a rod of fence?

42. What is of ? 2 of #

?

39. A man owning of a ship, sold of his share; how many thirds of the ship did he sell? 40. What is of } ? 41. A man owning of a farm, sold 4 of his share ; what part of the farm did he sell? What part did he keep?

of &?

of

43. What is
44. What is

of

of

45. What is 46. What is 47. What is of Solution. of is 1.

of

48. What is of 3 of 3 of ‡ of § of § of } of § ? 49. A girl wishing to divide of a pineapple equally among her 3 brothers, was at a loss to know how to divide it. At length she decided to cut each of the fifths into 3 equal parts; how many pieces did she give each of the boys? What part of the pineapple was each piece?

50. The girl mentioned in the above example could have made a better division of the ‡ of a pineapple; can you tell how? By your plan, how many pieces would you give to each boy? What would be the size of the pieces?

of ?
of &?

2.2.

? of?

is 1; 1 of 2 is

; therefore, of

LESSON V.

1. If a barrel of apples cost 24 dollars, what will of a barrel cost?

2. What is of 21?

Solution.of 2 is 1; ofis ; therefore, of 24 is 1.

3. If 3 barrels of flour cost $213, what is the price per barrel?

4. What is of 213?

5. A lady divided 83 pounds of maple sugar equally among her 4 children; how much did she give to each?

6. What is 4 of 83?

7. A boy divided 24 oranges equally among his brother, his sister, and himself; what part of an orange did each have?

8. What is of 21?

Solution. 2 are the same as §, and of is t ; therefore, of 2 is .

9. If 4 gallons of molasses cost $33, what does 1 gallon cost?

10. What is of 33?

11. If 6 bushels of oats cost $33, what is the price per bushel?

12. What is 13. Paid $72 pay for 1 yard?

14. What is

of 3% ?

for 10 yards of cloth; what did I

of 73?

15. Bought 12 bushels of corn for $11; what did it cost per bushel?

16. What is 2 of 11?

17. If 5 bushels of wheat cost $83, what is the price per bushel?

18. What is of 83?

Solution. 8 equals 35, and of 35 is 7, or 13. Or, 5 in 82, once and 33 over; 33 equals 15, and of is 2, which, added to the 1, gives 13.

19. A man bought 6 pounds of cheese for 62 cents, what did he pay per pound?

20. What is of 62

of 74% ?

21. If 7 barrels of flour cost 603 dollars, what is the price per barrel ? What is the cost of 2 barrels ?

22. What is 4 of 603? % of 603 ?/

23. A man bought a cow for $333, and afterward sold her for of her cost; how many dollars did he gain? What did he receive for her?

24. What is of 331? 1⁄2 of 33} ?

25. A man bought a horse for $653; but, not proving so good as he anticipated, he sold it for of its cost; how much did he lose? For how many dollars did he sell it?

26. What is

of 65%? 7 of 65% ?

27. If 1 man can do a piece of work in 273 days, how long would it take 4 men to do the same?

28. What is of 27?of

of 273?

29. If a horse can travel 273 miles in 4 hours, how far, at the same rate, can he travel in 9 hours? 30. What is of 273? 2 of 27%?

31. If 7 yards of cloth cost $313, what will 5 yards cost?

32. What is of 31? of 311⁄2?

33. If 4 pipes will empty a cistern containing 383 gallons in a given time, how many gallons will be drawn from the cistern by 3 pipes of the same size in the same time?

of 38%?

34. What is of 38? 35. If 3 horses eat 22 bushels of oats in 8 weeks, what will 7 horses eat in the same time? 36. What is of 22? 3 of 18?

37. In a freshet, a tree stood so that 35 feet, which were of its entire length, were under water; how many feet were above water? What was the whole length of the tree?

38. What is of 353? 3 of 35?

39. A man distributed 23 bushels of wheat equally among 7 poor families; how many bushels, at the same rite, would have been required for 9 families? 40. What is of 234? 7 of 134 ?

41. If 8 soldiers are allowed 133 pounds of meat in 1 day, what will soldiers be allowed in 5 days?

42. What is 5 times of 13}? 43. What is 4 times of 191?

LESSON VI.

1. A BOY having 2 melons, ate of a melon each day as long as they lasted; how many days did they last? How many days would they have lasted had he enten of a melon each day?

2. How many times is contained in 2; that is how many times is contained in §?