*2. cents, what will 1 eighth of a pound cost? What will a pound cost? 23. 6 is 3 eighths of what number? 29. If eight cents will buy 2 fifths of a pound of aquafortis, how many cents will buy a pound ' 30. 8 is 2 fifths of what number? 31. A man bought 3 fourths of a hundred weight of yellow ochre for 9 dollars; what was that a hun dred weight? 32. 9 is three fourths of what number C. 1. If 5 eighths of a cask of claret wine cost 15 dollars, what is that a cask? How much cider at a dollars a barrel would it take to pay for a cask of the wine? 2. 15 is five eighths of how many times 4? 3. If 2 thirds of a pound of coffee cost 18 cents, how much would a pound cost? How many oranges at 5 cents apiece, might be bought for a pound? 4. 18 is 2 thirds of how many times 5? 5. A man bought 4 sevenths of a hundred weight of sugar for 20 shillings, how many dollars would a hundred weight come to at the same rate? 6. 20 is 4 sevenths of how many times 6? 7. A man sold a cow for 21 dollars, which was only seven tenths of what she cost him; how much did she cost him? When he bought her, he paid for her with cloth at 8 dollars a yard; how many Jards of cloth did he give? 8. 21 is 7 tenths of how many times 8? 9. A man being asked the age of his youngest son, answered, that the age of his eldest son was 24 years, which was 3 fifths of his own age; and that his own age was 10 times as ch as that of his youngest son; what was his age? and what was the age of his youngest son? 10. 24 is 3 fifths of how many times 10? 11. 27 is 3 fifths of how many times 7? 12. 28 is 7 tenths of how many times 9? 13. 30 is 5 eighths of how many times 7 ? 14. 32 is 4 sevenths of how many times 6? 15. 36 is 9 eighths of how many times 5? 16. 40 is 8 ninths of how many times 8? 17. 42 is 6 fifths of how many times 4 ? 18. 45 is 9 eighths of how many times 6? 19. 48 is 8 ninths of how many times 7? 20. 50 is 5 sevenths of how many times 8? 21. 54 is 9 sixths of how many times 7? 22. 56 is 7 ninths of how many times 10? 23. 60 is 10 sevenths of how many times 4 ? 24. 63 is 9 eighths of how many times 5? 25. 64 is 8 ninths of how many times 7? 26. 70 is 10 sevenths of how many times 8? 27. 72 is 9 fifths of how many times 6? 28. 80 is 10 thirds of how many times 4? 29. 80 is 8 fifths of how many times 6'? D. 1. A boy gave away 4 cents, which was 1. third of all he had; how many had he at first? 2. A boy gave 5 apples to one of his companions, 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 bout 12 yards of cloth, and sold it for 4 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. Ir 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? 12. If the wages of 12 weeks come to 60 dollars, what is that a month? and how much for 5 weeks? 13. If 7 horses eat 14 bushels of oats in 1 week, bushels would 15 horses eat in the same how time? many 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? 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 a 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 |