21. Suppose that 6 cloaks are to be made from 22 yards of broad-cloth;- what number of yards must be put into each cloak?

Solution. Each cloak must contain of 22

yards.

4

19

of 22 is 3, there being 43 over. 42 is equal to of, and of is 19 times as much, or 4. Then 3 yards plus 14 of a yard, are 31 yards.

22. If 30 pounds of bread will supply a family for 1 week, how many pounds will supply the family for 1 day? 23. What is of 30% ?

24. If 8 yards of cloth cost 51 dollars, what will 1 yard cost? What will 3 yards cost?

25. What is of 513? What is 3 of 513?

SECTION 31.

Note to Teachers. This section furnishes a test of the learner's knowledge of the several operations taught since the Review in Section 12. Should the learner fail in any of these examples, he must be put back to the section, whose number is prefixed to the example in which the failure appears.

REVIEW.

1. (§ 13.) How many hours will it take you to read a book of 75 pages, if you read 9 pages an hour?

2. (§ 14.) If a bushel of oats be given in exchange for of a bushel of grass seed, how many bushels of oats inust be given for 63 bushels of grass seed?

3. (§ 15.) If a man drink of a gallon of beer in a day, how many gallons will he drink in 33 days? 4. (§ 16.) Suppose a watch to cost 17 dollars, and a chain 1 dollars, what is the cost of both?

5. (§ 17.) If 1 quire of letter paper cost of a dollar, what will 7 quires cost, at the same rate?

6. (§ 18.) Suppose a fire engine to throw from its pipe, 4 barrels of water in 1 minute,- what number of barrels will it throw in 10 minutes ?

7. (§ 19.) A farmer sold of a ton of hay for 37 dollars. What is the price of a ton at the same rate? 8. (§ 20.) There were 9 men, who performed a piece of work, for which they received 6 bushels of wheat What part of a bushel was the share of each man?

9. (§ 21.) A ship's crew used 14 casks of water, during a passage of 5 months, from Calcutta to New York. How much did that quantity allow them per month?

10. (§ 22.) If 7 barrels of flour cost 30 dollars, what will 9 barrels cost at the same rate?

11. (§ 23.) A man purchased a farm, containing 98 acres; but not being able to pay for the whole, he sold off of the land. How many acres did he sell?

12. (§ 24.) If a mill grind 9 bushels of corn in of an hour, how many bushels will it grind in 1 hour?

13. (§ 25.) If pen-knives are worth of a dollar apiece, and pencils of a dollar apiece, how many pencils must be given in exchange for 3 knives?

do

20

16

24

14. (§ 26.) Reduce to its lowest terms. How you reduce a fraction to its lowest terms?

15. (§ 27.) A man, owning of an acre of land, sold of what he owned. What part of an acre did he sell? 16. (§ 28.) Change and to a common denominaHow do you change fractions to a com. denom.? 17. (§ 28.) John gave of a dollar for a book, and of a dollar for a slate, and then sold them both for 3 of a dollar. Did he gain or lose? How much?

tor.

18. (§ 29.)

2 tons of it.

A farmer cut 183 tons of hay, and sold
How many tons had he left?

19. (§ 30.) When coffee is of a dollar per pound, how many pounds can be bought for of a dollar?

How

20. (§ 30.) A tenant raised 583 bushels of corn, and gave his landlord of it for the use of the land many bushels had the tenant for himself?

SECTION 32.

MISCELLANEOUS EXAMPLES.

1. The Gulf Stream is a current in the ocean, running 3 miles an hour. If a steam boat, whose engine propels her 121⁄2 miles an hour, should run in the stream, with the current, what distance would it move in 8 hours?

2. If the above steam boat were running against the current, what distance would it move in 8 hours?

3. A trader bought 25 barrels of flour, paying 7 dolars a barrel for 11 barrels of it, and 9 dollars a barrel for the remainder. What did the whole cost?

4. What sum of money must be divided among 10 men, so that each man shall receive 19 dollars?

5. Suppose a man can perform a journey in 8 days, travelling 10 hours a day,-in how many days can he perform it, travelling 12 hours a day?

6. Henry reads 12 pages in the same time that William is reading 7 pages;-how many pages will Henry read while William is reading 60?

7. If 72 dollars be divided equally among 9 sailors, how many weeks' board, at 3 dollars a week, will each sailor's share pay for?

8 A man failed in trade, and could pay only 4 dollars on every 9 dollars that he owed. How much did he pay on a debt of 100 dollars?

9. There is a pole standing in a pond, so that of it is under the water, and 3 feet of it is above the water. How long is the pole?

10. A pole is standing so that of it is in the mud, of it is in the water, and 2 feet of it is above the waWhat is the length of this pole?

ter.

11. If A borrow of B, 8 bushels of wheat, when the price is 9 shillings a bushel; how much wheat must A return, when the price is 7 shillings a bushel?

12. A trader, having 100 dollars, laid out of his money for narrow-cloth at 5 dollars a yard, and the remainder for broad-cloth at 7 dollars a yard. How many yards did he buy of each sort?

13. If 2 bushels of apples will fill a barrel, how many bushels will it take to fill 8 barrels ?

14 John can pick a quart of berries in an hour; Aun can pick twice as fast;-how many can both pick in an hour? In what time would they pick 10 quarts?

15. How many bushels of corn must a miller grind, to get 1 bushel for himself—allowing, that he takes 2 quarts from every bushel before grinding it, and, that 32 quarts make a bushel?

Suggestion. He gets 2 qts. for grinding less than a busb

H

16. If 1 monitor can mend 2 pens in a minute, how long will it take 3 monitors to mend 28 pens?

17. It is worth as much to pasture 1 Cow, as 5 sheep. If I pay 1 dollar a month for pasturing a cow, what must I pay for pasturing 35 sheep, 7 months?

18. If 3 horses eat 1 ton of hay in 1 month, how long will 5 tons last 4 horses?

19. A drover sold a cow for 20 dollars, and, in so doing, he gained a sum equal to of what he had paid for the cow. How much had he paid for her?

20. Suppose a man can dig a trench in 4 days, and a boy in 6 days;- what part of it can each dig in 1 day? What part of it can both together dig in 1 day? In what time can they both finish it?

21. Suppose a cistern has one tap that will discharge it in 5 hours, and another in 7 hours,-in what time will they both discharge it?

22. If 1 man can perform a piece of work in 35 days, in what time can 6 men perform it?

23. If 4 men drink a barrel of cider in 20 days, in what time will 9 men drink the same quantity?

24. If 9 men can do a piece of work in 5 days, in how many days will 7 men do the same work?

25. A farmer kept his sheep in four pastures-In the first pasture he had of his flock; in the second, f; in the third, and in the fourth he had 32 sheep. How many sheep had he?

26. There is a school, in which of the scholars read in the Classical Reader, read in the National Reader,read in Pierpont's Introduction, and 36 little boys read in the Young Reader. How many scholars are there in the school?

27. If a post 4 feet high cast a shadow 3 feet, at noonday, what is the height of a steeple, that casts a shadow 90 feet, at the same time.

23. A and B are laborers-A earns 10 dollars a month, and B 9; but A gives of his earnings to B What will each lay up in 3 months?

29. If 12 men can perform a piece of work in 6 days, in what time would 10 men perform the work?

30. How many men must be employed, to dig a trench in 3 days, that 6 men can dig in 4 days?

31. Suppose 2 men start from the same place, and travel in opposite directions, one at the rate of 5 miles an hour and the other as fast;- how far apart will they be in 11 hours?

32. A fox has 35 rods the start of a greyhound, but the hound runs 10 rods while the fox runs 7. How many rods must the hound run to catch the fox?

33. A started on a journey, and travelled 5 miles an hour-B started on the same journey, 2 hours after, and travelled 7 miles an hour. In how many hours did B overtake A?

34. A jockey paid 9 times as much for his horse as he did for his saddle; he paid 3 times as much for his saddle as he did for his bridle; and for his bridle he paid 5 dollars. What did the whole cost?

35. Suppose a man can reap of a field of wheat in a day, and his son can reap of it in a day;—what part of it can they both reap in a day? In what time can they both reap the whole?

36. A boy being asked how much money he had, replied "If I had as much more, and as much more, and as much more as I really have, I should then have 70 cents.' How much must he have had ?

37. A gentleman paid 85 dollars for 5 weeks' board of himself, his son, and one servant, at a hotel— His own board cost twice as much as his son's, and his son's cost three times as much as the servant's. What was the expense of each, per week?