1. IF 1 half of a barrel of apples costs 1 dollar and 1 third of a dollar, what will a barrel cost? 2. 1 and 1 third is 1 half of what number? Solution. Since 1 half of the number is 1 and 1 third, 2 halves, or the whole of the number, will be 2 times 1 and 1 third, which are 2 and 2 thirds; there fore, 1 and 1 third is 1 half of 2 and 2 thirds. 3. If 1 third of a box of oranges costs 2 dollars and 1 fourth, what will 2 thirds of a box cost? What a whole box? 4. 2 and 1 fourth is 1 third of what number? 5. If 1 fourth of a ton of hay costs 3 dollars and 1 half, what will 2 fourths of a ton cost? What will 3 fourths of a ton cost? What a whole ton? 6. 3 and 1 half is 1 fourth of what number? 7. If 1 fifth of a ton of coal costs 1 dollar and 3 fourths, what will 2 fifths of a ton cost? What 3 fifths? 4 fifths? 5 fifths, or a whole ton? 8. 1 and 3 fourths is 1 fifth of what number? 9. If 1 sixth of a barrel of flour costs 1 dollar and 3 fifths, what will 2 sixths of a barrel cost? 3 sixths? 4 sixths? 5 sixths? .6 sixths, or a whole barrel? 10. 1 and 3 fifths is 1 sixth of what number? · 11. If a man can walk 4 miles and 5 sixths of a mile in 1 seventh of a day, how far can he walk in 2 sevenths of a day? In 3 sevenths? In 4 sevenths? In a whole day? 12. 4 and 5 sixths is 1 seventh of what number? 13. A boy skated 1 mile and 5 sevenths in 1 eighth of an hour; how far, at the same rate, would he skate in 2 eighths of an hour? In 3 eighths? In 5 eighths? In an hour? 14. 1 and 5 sevenths is 1 eighth of what number? 15. A locomotive ran 3 miles and 2 fifths of a mile in 1 ninth of an hour; how far would it run in 2 ninths of an hour? How far in 3 ninths of an hour? In 4 ninths? In 6 ninths? In an hour? 16. 3 and 2 fifths is 1 ninth of what number? 17. A ship sailed 1 mile and 1 fourth in 1 tenth of an hour; how far would she sail in 2 tenths of an hour? How far would she sail in 3 tenths of an hour? In 4 tenths? In 5 tenths? In 9 tenths? In an hour? 18. 1 and 1 fourth is 1 tenth of what number? 19. 6 and 2 fifths is 1 seventh of what number? 20. 4 and 3 sevenths is 1 fifth of what number? 21. 5 and 3 fourths is 1 eighth of what number? 22. 6 and 5 eighths is 1 fourth of what number? of what number? 23. 3 and is 24. 4 and is of what number? 29. If 2 thirds of a box of lemons cost 3 dollars, what will one third of a box cost? What will a box cost? 30. 3 is 2 thirds of what number? Solution. Since 3 is two thirds, one third is 1 half of 3, which is 1 and 1 half; and three thirds, or the whole, will be three times 1 and 1 half, which are 4 and 1 half; therefore, 3 is 2 thirds of 4 and 1 half. 31. 5 is 2 thirds of what number? 32. If 3 fourths of a yard of cloth cost $4, what will 1 fourth of a yard cost? What will a yard cost? 33. If 4 is 3 fourths of some number, what is 1 fourth of the same number? 1 and 1 third is 1 fourth of what number? Then 4 is 3 fourths of what number? 34. If of a box of lemons cost $3, what will a box cost? 35. If 3 is of some number, what is of the same number? 1 is of what number? Then 3 is of what number? 36. If of a hundred weight of sugar cost $8, will 1 hundred weight cost? what 37. If 8 is of some number, what is of the same number? 13 is of what number? Then 8 is § of what number? 38. If of a cord of wood cost $4, what will a cord cost? of what number? 39. 4 is 40. If cost? 41. 16 is of a ton of hay cost $16, what will a ton of what number? 42. If a man can earn $23 in of a month, what can he earn in a month? 43. 23 is of what number? 44. A man can do 3 of a piece of work in 5 days; how long will it take him to do the whole of it? 45. 5 is of what number? 46. A horse traveled 4 miles in g of an hour; how far, at the same rate, would he travel in an hour? 47. 4 is § of what number? 48. If 7 pounds of flour cost 38 cents, what will 12 pounds cost? 49. 38 is of what number? 50. If 6 yards of cloth costs $10, what will 5 yards cost? 8 yards? 51. If 3 men can do a piece of work in 7 hours, how long will it take 5 men to do the same work? 52. If 2 pipes will empty a cistern in 7 hours, in what time will 5 pipes empty it? 3 pipes? 53. 7 is of what number? 57. A man bought 1 barrel and 1 fourth of a barrel of oil for $32; what was the price per barrel? Solution. A barrel and a fourth of a barrel are the same as 5 fourths of a barrel. Since 5 fourths of a barrel cost 32 dollars, 1 fourth costs 1 fifth of 32 dollars, which is 6 dollars and 2 fifths, and 4 fourths cost 4 times 6 dollars and 2 fifths, which are 25 dollars and 3 fifths of a dollar; therefore, etc. 58. A man bought 1 acre and 3 fourths of an acre of land for $75; what was the price per acre? 59. 75 is of what number? 60. Bought 23 yards of cloth for $12; what was the price per yard? 61. 12 is of what number? 62. Bought 13 tons of hay for $30; what was the price of 1 ton? 63. Paid $18 for 1 barrels of cranberries, what did I pay for 1 barrel? 64. Paid $7 for 1 boxes of raisins; what, at the same rate, should I pay for 2 boxes? 65. Twice of 7 are how many? 66. Paid $3 for 13 bushels of wheat; what would 3 bushels cost? 67. 3 times of 3 are how many ? 68.. Bought 1 barrels of apples for $4; what should I pay for 4 barrels ? 69. 4 times f of 4 are how many ? 70. Bought 1 gallons of vinegar for 33 cents; what would be the cost of 2 gallons? 71. 2 times of 33 are how many? 72. 5 times of 21 are how many? SECTION FIFTH. LESSON I. UNITED STATES MONEY, sometimes called Federal Money, is the Currency of the United States. NOTE. The words eagle and dime are seldom or never used in business transactions. Dollars and cents are usually separated by a point; thus, $36.42 is read, 36 dollars and 42 cents. TABLE OF ALIQUOT OR EXACT PARTS OF A DOLLAR. 50 cents = = = of a dollar, 20 cents = = of a dollar, of a dollar, of a dollar, 12 cents = of a dollar. 1. How many cents in 2 dimes? In 3 dimes and 6 cents? 2. How many cents in 30 mills? In 45 mills? 3. Change $4 and 6 dimes to dimes. $1, 2 dimes, and 5 cents to cents. 4. How many cents in of a dollar? In ?? z ? t ? j ? ? 5. What will 6 bushels of apples cost, at 33 cents per bushel? Solution. Since 1 bushel costs 1 third of a dollar, 6 bushels will cost 6 times 1 third of a dollar, which are 6 thirds of a dollar, or 2 dollars. 6. At 163 cents per pound, what will 9 pounds of raisins cost? 7. At 25 cents per pound, what will 20 pounds of coffee cost? 8. At 12 cents a pound, what will 24 pounds of sugar cost? 9. Bought 12 sheep, at $3.33 per head; what did they cost? |