what will one third cost? If one third of a yard cost 2 dollars, what will a yard cost?* 16. If 4 is 2 thirds of some number, what is 1 third of the same number? 2 is 1 third of what number? Then 4 is two thirds of what? 17. If 2 thirds of a barrel of flour cost 6 dollars, what will 1 third of a barrel cost? If 1 third of a barrel cost 3 dollars, what will a barrel cost?* 18. If 6 is 2 thirds of some number, what is 1 third of the same number?-3 is one third of what number? Then 6 is 2 thirds of what? 19. If 3 fourths of a bushel of wheat cost 6 shillings, what will 1 fourth of a bushel cost? If 1 fourth of a bushel cost 2 shillings, what will a bushel cost? 20. If 6 is 3 fourths of some number, what is 1 fourth of the same number?-2 is 1 fourth of what number? Then 6 is 3 fourths of what? 21. If 2 fifths of a gallon of wine cost 4 shillings, what will 1 fifth of a gallon cost? If one fifth of a gallon cost 2 shillings, what will a gallon cost? 22. If 4 is two fifths of some number, what is 1 fifth of the same number? 2 is 1 fifth of what number? -Then 4 is 2 fifths of what? 23. If 3 sevenths of a pound of tobacco cost 6 cents, what will 1 seventh of a pound cost? If 1 seventh of a pound cost 2 cents, what will a pound cost? 24. If 6 is 3 sevenths of some number, what is 1 seventh of the same number?-2 is 1 seventh of what number Then 6 is 3 sevenths of what? 25. If 2 sevenths of a barrel of fish cost 4 dollars, what will 1 seventh of a barrel cost? What will a barrel cost? 26. 4 is 2 sevenths of what number? 27 It 3 eighths of a pound of chocolate oost 6 cents, what will 1 eighth of a pound cost? What will a pound cost? 28. 6 is 3 eighths of what number?! 29. If eight cents will buy 2 fifths of a pound of aqua fortis, 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 hundred 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 4 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, now 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? & 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 mary vards 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 much as that of his young est son; what was his age? and what was the age of his youngest son? 10. 24 is 3 fifths of how many times 10? 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 had he? many 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 wa 8 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 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 thers 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, an 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 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, wnat 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 1 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 Hollars will he spend in a week? 11. Bought 10 pieces of cloth, eaca containing yards, for 100 dollars; what was it a piece? Adest how much a yard & |