27. 4 is 1 eighth of what number? 28. 6 is 1 sixth of what number? 29. 8 is 1 third of what number? 30. 9 is I fourth of what number? 31. 7 is 1 sixth of what number? 32. 8 is 1 seventh of what number? 33. 9 is 1 eighth of what number? 34. 8 is 1 tenth of what number? 35. 7 is I ninth of what number? 36. 6 is 1 fifth of what number? 37. 10 is 1 seventh of what number? B. 1. A man bought some linen and some cotton cloth, for the linen he gave 4 shillings a yard, which was twice as much as he gave for the cotton; what did he give for a yard of the cotton? 2. 4 is 2 times what number? 3. If 2 thirds of a yard of cloth cost 6 dollars, what would 1 third cost? 4. 6 is 2 times what number? 5. If 3 fourths of a barrel of flour cost 6 dollars, what will one fourth of a barrel cost? 6. 6 is three times what number? 7. If 2 fifths of a pound of chocolate cost 8 cents, what would 1 fifth of a pound cost? 8. 8 is 2 times what number? 9. If 3 fifths of a pound of candles cost 9 cents what will 1 fifth of a pound cost? 10. 9 is 3 times what number? 11. If 2 sevenths of a pound of spermaceti candles cost 10 cents, what will 1 seventh of a pound cost? 12. 10 is 2 times what number? 13. If 5 eighths of a pound of cotton cost 10 cents, what will 1 eighth cost? 14. 10 is 5 times what number? 15. If 2 thirds of a yard of cloth cost 4 dollars, what will 1 third cost? If 1 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 2 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 1 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 1 fifth of a gallon cost 2 shillings, what will a gallon cost? 22. If 4 is 2 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 li 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. If 3 eighths of a pound of chocolate cost 6 * See this section, article A. 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 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? 33. 8 is 4 ninths of what number? 6 C. 1. If 5 eighths of a cask of claret wine cost 15 dollars, what is that a cask? How much cider at 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? of 5. A man bought 4 sevenths of a hundred weight 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 61 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 yards 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 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? 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 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 pble; 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? |