12. Suppose a boat goes 10 miles and 5-sixths of a mile in 1 hour; what distance will it go in 8 hours? 13. What is 8 times 10 and 5-sixths?

14. If 3 yards and 7-eighths of cloth will make a cloak, how many yards will it take to make 5 cloaks? 15. What is 5 times 3 and 7-eighths?

SECTION 19.

1. If 1-fifth of a chest of tea be worth 6 dollars and d7-eighths, what is a whole chest worth?

Solution. A whole chest is worth 5 times as much as 1-fifth of a chest. 5 times 6 dollars are 30 dollars; d5 times 7-eighths of a dollar are 35-eighths of a dollar, or 4 dollars and 3-eighths. 30 dollars plus 4 dollars and 3-eighths are 34 dollars and 3-eighths.

2. 6 and 7-eighths is 1-fifth of what number?

3. Suppose 1-ninth of a kite line to be 5 yards and ol 3-fourths of a yard long,—how long is the whole line? 4. 5 and 3-fourths is 1-ninth of what number?

5. A young man being asked his age, answered indirectly, that 1-third of his age was 7 years and 2-sixthз be of a year. What was his age?

6. 7 and 2-sixths is 1-third of what number?

7. Suppose a man can build 3 rods and 2-fifths of a rod of wall in 1-sixth of a week,-how many rods can he build in a whole week?

8. 3 and 2-fifths is 1-sixth of what number?

9. If 1-tenth of a bushel of corn be worth 6 cents and 1-fourth of a cent, what is a bushel worth?

10. 6 and 1-fourth is 1-tenth of what number? 11. 1-fourth of Edmund's kite line measures 8 yards and 3-sevenths of a yard. How long is the line? 12. 8 and 3-sevenths is 1-fourth of what number? 13. If 1-half of a yard of lace cost 3 dollars and 4 fifths of a dollar, what will a yard cost?

14 3 and 4-fifths is 1-half of what number?

15. Suppose that 1-seventh of an acre of land will produce 6 bushels and 7-ninths of a bushel of barley. how many bushels will an acre produce?

16. 6 and 7-ninths is 1-seventh of what number?

SECTION 20.

1. If 1 apple were divided equally among 3 boys, what part of 1 apple would 1 boy receive? If 2 apples were thus divided, how many thirds would one boy receive? 2. Here we see 1-third

of 2 boards, placed over 2thirds of 1 board. Is it not plain, that 1-third of the 2 boards together, is equal to 2-thirds of 1 board?

3. 1-third of 2 is equal to what part of 1?

4. There were 3 boys, who had 1 dollar apiece; and each boy gave a decrepit soldier 1-fourth of his money. What part of 1 dollar did the poor soldier receive? 5. Here, we see 1-fourth

of 3 boards placed over 3fourths of 1 board. Suppose the fourths seen in the 3 boards should be placed together end to end Is it not plain, they would make 3-fourths of 1 board?

6. 1-fourth of 3 is equal to what part of 1?

7. I have 4 oranges to divide among 5 boys.-I first cut 1 orange into fifths, and give each boy 1-fifth; and thus I proceed, dividing 1 orange at a time, until they are all divided. Now, what part of a whole orange can each boy make up, by joining his fifths together?

8. 1-fifth of 4 is equal to what part of 1?

9. If 1 melon were divided equally among 6 boys, what part of 1 melon would 1 boy receive? If 2 melons were divided, how many sixths would 1 boy receive? 10. 1-sixth of 2 is equal to what part of 1?

11. If 3 barrels of flour were divided equally among men, how much would 1 man receive?

12. 1-seventh of 3 is equal to what part of 1? 13. If 3 pounds of beef were divided equally among 8 soldiers, what part of a pound would 1 soldier get? 14. 1-eighth of 5 is equal to what part of 1?

15. An ostler has 2 bushels of oats to divide among 9 horses; how much must he give to each horse? 16. 1-ninth of 2 is equal to what part of 1?

17. If 7 dollars were divided equally among 10 men, what part of 1 dollar would each man have? 18. 1-tenth of 7 is equal to what part of 1? 19. 1 fourth of 2 is equal to what part of 1? 20. 1-sixth of 5 is equal to what part of 1? 21. 1-eighth of 3 is equal to what part of 1?

22. There were 36 oranges in a basket and Albert was directed to take 1-fourth of them. Accordingly he cut 1-fourth out of every orange, and took it to himself. How many fourths of an orange did he get? He then joined his fourths together, to make them into whole oranges; how many whole ones had he?

23. 1-fourth of 36 is equal to how many fourths of 1? -equal to how many whole ones?

24. In another basket there were also 36 oranges, and Benjamin was directed to take 1-fourth of them. But, instead of cutting 1-fourth out of every orange, as Albert did, he took 1 orange from every 4 in the basket. How many oranges did Benjamin get?

25. Now tell me which is the most;-1-fourth of 36, or 36-fourths of 1?

26. 1-half of 10 dollars is equal to how many halves of 1 dollar?-equal to how many dollars?

27. 1-third of 18 oranges is equal to how many thirds of 1 orange?-equal to how many whole oranges?

28. 1-fifth of 17 oranges is equal to how many fifths of 1 orange?— equal to how many whole oranges?

29. 1-sixth of 42 is equal to how many sixths of 1? -equal to how many whole ones?

30. 1-seventh of 59 is equal to how many sevenths of 1?-equal to how many whole ones?

SECTION 21.

1. If a chest of green tea be worth 27 dollars, what is 1-fourth of it worth?

Solution. 1-fourth of the tea is worth 1-fourth of 27 dollars. 1-fourth of 27 dollars is 6 dollars, there being

3 dollars over.

of 1 dollar.

1-fourth of 3 dollars is equal to 3-fourths

6 dollars plus 3-fourths of a dollar are 6 dollars and 3-fourths...... Or, we may say,-One fourth of 27 dollars is 27-fourths of 1 dollar; equal to 6 dollars and 3-fourths.

2. What is 1-fourth of 27 ?

3. 3 men bought a barrel of sugar for 23 doilars, and div'ded it equally among them, each man taking 1-third of the sugar, and paying 1-third of the price. How many dollars did each man pay?

4. What is 1-third of 23?

5. Suppose a family to eat 26 loaves of bread in a week; what number of loaves would the family consume in 1-seventh of a week, or 1 day?

6. What is 1-seventh of 26 ?

7. Suppose 48 bushels of wheat are to be divided among 5 men; how much will 1 man receive? 8. What is 1-fifth of 48?

9. 6 men purchased a boat for 27 dollars: each man paid 1-sixth of the money, and owned 1-sixth of the boat. How many dollars did 1 man pay?

10. What is 1-sixth of 27 ?

11.

Suppose a bag of coffee to weigh 65 pounds;— what is the weight of 1-ninth of it?

12. What is 1-ninth of 65?

13. If it will take a man 60 days to clear a piece of wood-land, in what time will he clear 1-eighth of it? 14. What is 1-eighth of 60?

15. A sailor was cast upon a desolate island, and subsisted 10 days upon 34 biscuit, eating an equal quantity each day. How many did he eat each day? 16. What is 1-tenth of 34?

17. If a bar of silver, that is worth 37 dollars should be cut into 3 equal parts, how many dollars would 1 of the parts be worth?

18. What is 1-third of 37?

19. Suppose a party of 9 gold hunters find a quantity of ore, which is worth 88 dollars; what is the value of each man's share?

20. What is 1-ninth of 88?

21. If it take a man 4 months to earn 38 dollars, how much does he earn in 1 month?

22. What is 1-fourth of 38?

23. If 6 barrels of superfine flour cost 35 dollars, what is the price of 1 barrel of it?

24. What is 1-sixth of 35?

25. Suppose 39 bushels of corn to grow upon 1 acre; how much corn will 1-fifth of an acre produce? 26. What is 1-fifth of 39?

27. If 2 dollars will pay for 13 pounds of butter, how many pounds can be bought for 1 dollar?

28. What is 1-half of 13?

29. If 8 dollars will pay for 78 pounds of cheese, now many pounds will 1 dollar pay for?

30. What is 1-eighth of 79?

31. Suppose 10 men drink 55 gallons of beer in a month;-how much will 1 man drink in a month? 32. What is 1-tenth of 55?

33. Suppose 7 acres of land to produce 60 dollars' worth of hay;-what is the value of the hay which 1 acre of the land produces?

34. What is 1-seventh of 60?

35. If 1 man can clear a piece of wood-land in 29 days, in what number of days would 5 men clear it?

Instruction. Consider that 5 men can do 5 times as much work in a day, as 1 man can do: consequently, it will take 5 men only 1-fifth of the time that it will take 1 man to clear the land.

36. How many days will it take 7 men to do a piece of work, that 1 man can do in 46 days?

37. If 1 man will drink a firkin of beer in 50 days, how many days will it last 6 men?

38. Suppose 24 men can hoe a piece of corn in 1 day, what number of men must be employed to hoe it in 8 days? Suggestion. Each man, that shall be employed, can do 8 times as much work in S days, as he can in 1 day. 39. If 40 men can build a wall in 1 day, what number of men must be employed to build it in 4 days?

40. If a cistern can be discharged by 1 faucet in 19 bours, in what time can it be discharged by 3 faucets?