RULE. Divide the dividend by one of the component parts, and the quotient thence arising, by the other, and the last quotient will be the answer to the question. NOTE.-To find the true remainder; multiply the last remainder by the first divisor, and to the product add the first remainder. 37. If 16 yards of velvet cost 2£. 18s. 8d. what will 1 yard cost? 38. If 72 yards of broadcloth cost 71£. 14s. Od. what is the value of 1 yard? 39. If 84 yards of cotton cost 8£. 1s. Od. what will 1 yard cost? 40. If 90 hogsheads of sugar weigh 56T. 13cwt. 3qr. 10lb. what is the weight of 1 hogshead? 41. What will be the price of 1 sheep if 18 cost 5£. 4s. 3d. ? 42. If 21 yards of cloth cost 10£. 8s. 3d. what is the price of 1 yard? 43. What is the value of 1 hat when 22 cost 12£. 13s. Od. ? 44. When 96 shares of a certain stock are valued at 1290£. 4s. Od., what would be the cost of 1 share? 45. If 120 spoons weigh 32lb. 9oz. 15dwt., what does 1 weigh? 46. If a man in 1 month travel 746m. 4fur. 40rd. how far does he go in 1 day? 47. If the earth revolve 15° on its axis in 1 hour, how far does it revolve in 1 minute ? 48. Divide 1275A. 2R. 16p. 22yd. 8ft. 32in. equally between 32 men. 49. If a man walk round the earth in 2y. 68da. 19h. 54m.; how long would it take him to walk 1 degree, allowing 3651 days to a year? The following questions are to be performed as the second example of this section. 50. If 53 tons of iron cost 1001£, 9s. 7d. what is the value of 1 ton ? 51. If 57 gallons of wine cost 23£. 11s. 54d. what cost 1 gallon? 52. Divide 3419A. 2R. 23p. by 29. 53. If 89 pieces of cloth contain 3375yds. 3qr. 1na. Oțin. how much does 1 piece contain? 54. If 59 casks contain 44hhd. 52gal. 2qt. 1pt. of wine, what are the contents of 1 cask? 55. If a man travel in 1 year (365 days) 6357m. 5fur. 14rd. 11ft., how far is that per day? 56. When 175gal. 2qt. of beer are drunk in 52 weeks, how much is consumed in 1 week? 57. When 17 sticks of timber measure 15T. 88ft. 1074in., how many feet does 1 contain ? 61. Divide 275chald. 17bu. equally between 17 men. CASE III. When the value of a fractional part is required. RULE. Multiply the price by the numerator, and divide by the denominator, but if the price of a fractional part be given, and it is required to find the value or integer, multiply the price by the denominator and divide by the numerator. EXAMPLE. 62. If the whole of a ship and cargo be valued at 2346£. 12s. 8d. what is worth? Ans. 1759£. 19s. 6d. £. S. d. 2346 12 8 3 4) 7039 18 0 1759 19 6 63. Bought of a lottery ticket, which drew a prize of $1500; what was my share of the prize money? Ans. $937.50. 64. If of an estate be valued at $1728.50, what is the value of the whole ? Ans. 2963.143. 65. A vessel and cargo is valued at $10.000, and of the cargo was sold for $5780; what was the value of the vessel ? Ans. $2775.00. SECTION XI. MENTAL OPERATIONS IN FRACTIONS. NOTE. The pupil is requested, before he commences the mental operations of Fractions, to examine carefully the definitions on page 78. 1. If of a barrel of cider cost 2 dollars, what will a barrel cost? 2. Bought of a barrel of flour for 2 dollars, what would be the price of a barrel? 3. If of a yard of cloth cost 3 dollars, what will cost? What will cost? What will a yard cost? 4. If of a barrel of flour cost 2 dollars, what will cost? g ? ƒ ? § ? § ? Į ? § ? 10 ? 5. If of a pound of pepper cost 3 cents, what will ??? #? ? ? 6. Bought of a barrel of sugar for 2 dollars, what was the price of ? ? ? ? ? ? ? ? 7. If a man bought of a firkin of butter for 7 cents, what did the whole firkin cost? 8. Bought of an acre of land for 5 dollars, what was the price of an acre? Of 2 acres? Of 10 acres? Of 20 acres? 9. Bought of a pound of ginger for 4 cents, what did a pound cost? 10. Bought of a chest of tea for 5 dollars, what did cost??? 55 ? 18 ? 11. Bought of a load of hay for 3 dollars, what did the load cost? What did 2 loads cost? 12. If of a cask of wine cost 9 dollars, what was that a cask ? 13. 2 is 14. 4 is 15. 6 is 16. 7 is 17. 9 is 18. 8 is 19. 10 is ૐ of what number? 4? 5? 6? 8? 9? 10? 12? of what number? 5? 6? 8? 9? 11? 15? 16? of what number? 7? 8? 9? 11? 13? 18? 20? of what number? 4? 5? 6? 8? 11? 15? 25? of what number? 7? 2? 8? 11? 12? 13? 17? of what number? 7? 11? 12? 15? 10? 11? 25? of what number? 6? 7? 8? 9? 11? 15? 18? of what number? 14? 15? 16? 17? 18? 19? of what number? 6? 3? 2? 1? 7? 18? 14? of what number? 11? 12? 13? 15? 16? 17? 23. 15 is of what number? 21? 18? 13? 14? 17? 19? 133 20. 12 is 21. 11 is 22. 14 is 24. 7 is of what number? 10? 11? 12? 16? 18? 13? 25. 8 is of what number? 6? 7? 6? 5? 2? 7? 18? 26. If of a pound of sugar cost 4 cents, what will } of a ૐ pound cost? What will a pound cost? 4 is of what number? of 27. If of a pound of nutmeg cost 6 cents, what will a pound cost? If of a pound cost 2 cents, what will a pound cost? 6 is of what number? 28. If of a cwt. of starch cost 10 dollars, what will of a cwt. cost? What will a cwt. cost? 10 is of what number? 29. If of a barrel of molasses cost 4 dollars, what is the value of of a barrel? If of a barrel cost 2 dollars, what will a barrel cost? 4 is % of what number? ៖ 30. If of a pound of candles cost 15 cents, what will } of a pound cost? If of a pound cost 3 cents, what will a pound cost? 15 is of what number? 31. Bought of a pound of mace for 20 cents, what was the cost of of a pound? If of a pound cost 4 cents, what will a pound cost? 20 is of what number? 32. If of a pound of opium cost 55 cents, what will of a pound cost? If of a pound cost 5 cents, what will a pound cost? 55 is of what number? 12 33. 6 is 3 times what number? 9? 12? 15? 18? 21? 24? 34. 15 is 3 times what number? 20? 25? 35? 65? 70? 35. 20 is 4 times what number? 4? 8? 12? 16? 40? 50? 36. 21 is 7 times what number? 14? 28? 56? 63? 70? 37. 24 is 2 times what number? 26? 30? 37? 39? 40? 38. 25 is 5 times what number? 80? 85? 95? 100? 200? 39. 3 is 6 times what number? 18? 21? 28? 31? 40? 60? 40. 18 is 9 times what number? 6? 7? 18? 30? 37? 28? 41. If 6 be of some number, what will be of the same number? If 3 be of a number, what is that number? 42. 3 is of what number? 43. If of a pound of sugar cost 12 cents, what will ↓ of a pound cost? If of a pound cost 2 cents, what will a pound cost? 44. If of a pound of nutmegs cost 20 cents, what will cost? If cost 5 cents, what will a pound cost? 20 is what number? ༔ of 45. If of a quarter of veal cost 64 cents, what will of a pound cost? If of a pound cost 8 cents, what will a pound cost? 64 is of what number? 46. Bought of a ton of potash for 84 dollars, what did of a ton cost? 18 If of a ton cost 12 dollars, what did a ton cost? 84 is of what number? 47. Bought of a barrel of pork for 14 dollars, what was the cost of of a barrel? If of a barrel cost 2 dollars, what was the price of a barrel? 14 is of what number? 48. Bought of a barrel of fish for 18 dollars, what did of a barrel cost? If of a barrel cost 9 dollars, what was the value of a barrel? 18 is of what number? 49. If of an acre of land cost 42 dollars, what is the value of of an acre? If of an acre cost 6 dollars, what is the value of an acre? 42 is of what number? 50. If of a bushel of apples cost 35 cents, what will of a bushel cost? If of a bushel cost 5 cents, what is the value of a bushel? 35 is of what number? 51. If of a bushel of corn cost 63 cents, what is of a bushel worth? If of a bushel cost 9 cents, what is the value of a bushel? 63 is of what number? 52. If of a pound of saleratus cost 8 cents, what is of a pound worth? If of a pound cost 2 cents, what does a pound cost? 53. If of a load of hay is sold for 14 dollars, what is of a load worth? If of a load cost 2 dollars, what will 3 loads cost? 14 is of what number? 54. If 10 cents will buy of a pound of figs, how many cents will buy a pound? 55. If 12 dollars will buy of a cwt. of sugar, how many dollars will it take to buy a cwt.? 57. 9 is 58. 12 is 59. 4 is 60. 3 is 61. 15 is 62. 18 is 63. 20 is ་ 56. 8 is of what number? 7? 6? 11? 12? 15? 19? 20? of what number? 6? 7? 8? 15? 17? 18? 23? of what number? 13? 16? 17? 19? 25? 27? of what number? 11? 7? 16? 17? 19? 21? of what number? 4? 5? 6? 8? 9? 11? 18? of what number? 16? 18? 20? 25? 26? 30? of what number? 3? 4? 5? 6? 7? 8? 11? of what number? 10? 8? 18? 21? 27? 28? of what number? 27? 28? 29? 33? 37? 38? of what number? 11? 16? 17? 18? 27? 36? of what number? 28? 29? 30? 37? 38? 61? of what number? 36? 42? 58? 59? 61? 72? 68. 30 is of what number? 35? 40? 45? 55? 67? 85? 69. If of a bushel of salt cost 42 cents, how many pounds of raisins at 6 cents a pound, would it take to purchase a bushel? 64. 21 is 65. 25 is 66. 24 is 67. 27 is |