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which was 1 fourth of what he had; how many had he ?

3. A man paid away 4 dollars, which was 2 thirds of all the money he had ; how much had he?:

4. A man sold a watch for 18 dollars, which was 3 fourths of what it cost him ; how much did it cost?

5. A man sold a cow for 15 dollars, which was 3 fifths of what the cow cost; how much did he lose by his bargain ?

6. A man bought 12 yards of cloth, and sold it for 54 dollars, which was 9 eighths of what it cost him ; what did it cost him a yard? and how much did he gain by his bargain ?

7. There is a pole standing in the water, so that 10 feet of it is above the water, which is 2 thirds of the whole length of the pole; how long is the pole?

8. There is a pole two thirds under water, and 4 feet out; how long is the pole ?

9. There is a pole two fifths under water, and 6 feet out of the water; how long is the pole ?

10. There is an orchard, in which 3 sevenths of the trees bear cherries, and 2 sevenths bear peaches, and 10 trees bear plums; how many trees are there in the orchard ? and how many of each sort ?

11. There is a school, in which 2 ninths of the boys learn arithmetic, 3 ninths learn grammar, 1 ninth learn geography, 1 ninth learn geometry, and 12 learn to write ; how many are there in the school ? and how many attending to each study

12. A man sold a watch for 63 dollars, which was 7 fifths of what it cost him ; how much did he gain by the bargain !

Miscellaneous Examples.

1. IF 1 yard of cloth cost 4 dollars, what will 5 yards cost?

2. A man bought 3 pounds of raisins, at 7 cents a pound, and 16 oranges, at 4 cents apiece, and I pound of candles for 16 cents; what did they all come to ?

3. A boy had 37 apples; he kept five himself, and divided the rest equally among four companions ; how many did he give them apiece ?

4. Two men are 40 miles apart, and both travelling the same way; the hindermost man gains upon the other 5 miles each day; in how many days will he overtake him ?

5. Two men are travelling the same way, one travels at the rate of 38 miles a day, the other, who is behind the former, travels 44 miles ; how much does he gain of the first each day ?, and in how many days would he gain 60 miles?

6. A fox is 80 rods before a greyhound, and is running at the rate of 27 rods in a minute, the greyhound is following at the rate of 31 rods in a minute ; in how many minutes will the greyhound overtake the fox ?

7. If 2 yards of cloth cost 6 dollars, what would 4 yards cost? what would 12 yards cost?

8. If 8 sheep cost 24 dollars, what would 3 cost ?

9. If 4 tons of hay will keep 3 horses through the winter, how many tons will keep 30 horses the same time ?

10. If a man spends 8 shillings a day, how many dollars will he spend in a week ?

11. Bought 10 pieces of cloth, each containing 5 yards, for 100 dollars; what was it apiece? and how much a yard ?

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12. If the wages of 12 weeks come to 60 dollars, what is that a month ? and how much for 5 weeks? V

13. If 7 horses eat 14 bushels of oats in 1 week, how many bushels would 15 horses eat in the same time ?

14. If 3 horses eat 8 bushels of oats in 2 weeks. how long would it take them to eat 40 bushels ?

15. If 1 horse eat 1 bushel of oats in 3 days, in how many days would 4 horses eat 36' bushels ?

16. If 2 men spend 12 dollars in 1 week, how many dollars would 3 men, at the same rate, spend in 5 weeks?

17. If a staff 3 feet long cast a shadow of 2 feet at 12 o'clock, what is the length of a pole that casts a shadow 18 feet at the same time of day?

18. If 47 gallons of water, in 1 hour, run into a cistern containing 108 gallons, and by a pipe 38 gallons run out in an hour, how much remains in the cistern in an hour ? and in how many hours will the cistern be filled ? i

19. If 4 men can do a piece of work in 8 days, how many men would it take to do the same work in 4 days?

20. If 6 men can do a piece of work in 9 days, in how many days would 2 men do it?

21. If 8 men can do a piece of work in 5 days, in how many days would they do a piece of work 4 times as large ?

22. If 7 men can do à piece of work in 3 days, how many men would it take to do a piece of work 5 times as large in the same time ?

23. If 8 men can do a piece of work in 4 days, in how many days would 2 men do a piece of work one half as large ?

24. A man bought a cask of wine containing 63 gallons, 3 sevenths of which leaked out; and he

sold the remainder for 36 dollars ; how much per. gallon did he sell it for ?

25. If a cask of wine cost 48 dollars, what is 5 eighths of it worth ? 30

26. A man bought 7 oranges for 6 cents apiece, and sold them all for 54 cents, how much did he gain by the bargain?!

27. A man bought 8 yards of cloth for 56 dollars, and sold it again for 9 dollars a yard ; how much did he gain by the bargain ?

28. A man bought 8 barrels of flour for '40 dollars; how much must he sell it at per barrel to gain 16 dollars ?

29. A man bought five firkins of butter at 7 dollars a firkin ; how much must he sell it per firkin 'to gain 10 dollars ?

30. A man gave 35 cents for his breakfast, which was 5 eighths of what he gave for his dinner; what did he give for his dinner ?

31. A ship's crew of 6 men have provision for 3 months ; how many months would it last 1 man?

32. A ship’s crew have provision sufficient to last 1 man 27 months ; how long would it last 9 men ?

33. A ship's crew have provision sufficient to last 3 men 10 months ; how long would it last 5 men ?

34. A man built 40 rods of wall in a certain time, another man can build 9 rods while the first build 5; how much would he build in the same time ?

SECTION VII.

If the combinations in this section should be found too difficult, they may be omitted until reviewing the book.

A. 1. A man being asked the age of his eldest

was

son answered, that his youngest son was six years
old, and that 2 thirds of the youngest son's age was
just 1 fifth of the eldest son's age. Required the
age of the eldest son ?
2. 2 thirds of 6 is 1 fifth of what number?

3. A man being asked how many sheep he had, said that he had them in two pastures ; in one pase ture he had eight; and that 3 fourths of these was just 1 third of what he had in the other. How many were there in the other ? 1%

4. 3 fourths of 8 is 1 third of what number?
5. Two boys talking of their ages, one said he
9

years old. Well, said the other, 2 thirds of your age is exactly 3 fourths of my age, now if you will tell me how old I am, I will give you as many apples as I am years old. What was his age ?

6. 2 thirds of 9 is 3 fourths of what number?

7. Two boys counting their money, one said he had ten cents. The other says, 4 fifths of your money is exactly 2 sevenths of mine ; now if

you will tell how many I have, I will give you 1 half of them. How many had he ?

8. 4 fifths of 10 is 2 sevenths of what number? 9. 5 sixths of 12 is 2 thirds of what number?, 10. 6 sevenths of 14 is 4 ninths of what number? 11. 6 fifths of 15 is 2 thirds of what number ?? 12.7 ninths of 18 is 2 fifths of what number ! 13. 4 fifths of 20 is 8 sevenths of what number? 14. 8 sevenths of 21 is 6 tenths of what number 40

15. 5 sixths of 24 is 10 sevenths of how many times 5?

16. 3 sevenths of 28 is 2 eighths of how many times 7?

17. 4 fifths of 30 is 6 sevenths of how many times 8?

18. 6 eighths of 32 is 8 ninths of how many times

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