44. If 1 share in a certain stock be valued at 13£. 8s: 94d. what is the value of 96 shares? 45. If 1 spoon weigh Soz. 5dwt. 15gr. what is the weight of 120 spoons? 46. If a man travel 24m. 7fur. 4rd. in 1 day, how far will he go in 1 month? 47. If the earth revolve 0°. 15'. per minute, how far per hour? 48. Multiply 39A. 3R. 17p. 30yd. 8ft. 100in. by 32. 49. If a man be 2da. 5h. 17m. 19sec. in walking 1 degree, how long would it take him to walk round the earth, allowing 3651 days to a year? CASE III. When the quantity required is such a number, as cannot be produced by the product of two or more numbers, we should proceed as in the following EXAMPLE. 50. What is the value of 53 tons of iron at 18£. 17s. 11d. a 944 15 56 13 1001 9 5 7= price of 5 tons. = 7= price of 53 tons. Because 53 is a prime number, that is, it cannot be produced by the product of any two numbers; we therefore find a convenient composite number less than the given number, viz. 50, which may be produced by multiplying 5 by 10. Having found the price of 50 tons by the last Case, we then find the price of the 3 remaining tons by Case I., and add it to the former, making the value of the whole quantity 1001£. 9s. 7d. The pupil will hence perceive the propriety of the following RULE. Multiply the price by the continued product of such numbers, as will be nearest the given quantity, and then find the value of the remainder by Case I., and the two products will be the answer. 51. What will 57 gallons of wine cost at 8s. 34d. per gallon? 52. Bought 29 lots of wild land, each containing 117A. 3R. 27p.; what were the contents of the whole ? 53. Bought 89 pieces of cloth, each containing 37yd. Sqr2na. 2in.; what was the whole quantity? 54. Bought 59 casks of wine, each containing 47gal. 3qt. 1pt. ; what was the whole quantity? 55. If a man travel 17m. 3fur. 13rd. 14ft. in one day, how far will he travel in a year? 56. If a man drink 3gal. 1qt. 1pt. of beer in a week, how much I will he drink in 52 weeks? 57. There are 17 sticks of timber, each containing 37ft. 978in.; what is the whole quantity? 58. There are 17 piles of wood, each containing 7 cords, 98 cubic feet; what is the whole quantity? 59. Multiply 2hhd. 19gal. Oqt. 13 pt. by 39. SECTION X. COMPOUND DIVISION. COMPOUND DIVISION is when the dividend consists of several denominations. 1. What is 2. What is 3. What is 4. What is 5. What is of 3 pence? 4d.? 5d. ? 7d. ? 9d. ? 11d.? 13d.? of 2 shillings? 3s.? 4s.? 5s.? 6s.? 7s. ? 8s. ? of 7£. ? 8£.? 10£.? 11£. ? 13£. ? 14£. ? of Scwt.? 5cwt.? 6cwt.? 7cwt.? 8cwt. ? 9cwt. ? of lyd.? 2yds.? Syds.? 5yds.? 6yds.? 7yds.? 6. What is of 1gal. ? 2gal.? 3gal.? 4gal.? 5gal.? 6gal.? 18 EXAMPLES. 7 Divide 598£. 8s. 9d. equally among 5 persons. £. 8. d. 5)598 8 9 Having divided the pounds by 5 we find 3£. remaining which are 60s. ; to these we add the 8s. in the question, and again divide by 5 and 9 find 3s. remaining, which are 36d.; to these we add the 11d. in the question, and divide their sum by 5. The several quotients we write under their respective denominations. 119 13 8. Divide 168£. 15s. Od. equally among 36 men. £. 8. d. 36)168 15 0(4£. 144 24 20 36)495(13s. 36 135 108 27 12 36) 324(9d. 324 When the divisor is more than 12, we usually perform the operation by long division. In the present example, we first divide the pounds by 36, and obtain 4£. for the quotient and 24£. remaining, which we reduce to shillings and annex the 15s. and again divide by 36 and obtain 13s. for the quotient. The remainder we reduce to pence, and again divide and obtain 9d. for the quotient. From the above examples and illustrations we deduce the following RULE. Divide the highest denomination, by the quantity, and if any thing remains, reduce it to the next lower denomination, and continue to divide until it is reduced to the lowest denomination. |