Answer, 7 d. Answer, 4s. 6d. 48. What is the equivalent of. 625 of a shilling? Answer, 6 oz. 17 dwt. 11 gr. . 328 51. What is the equivalent of . 575 of Cwt. Answer, 2 qrs. 8 lb. 6 oz. 6 drs. . 4 52. What is the equivalent of .375 of a yard of Cloth? Answer, 1 qr. 2 nls. 53. What is the equivalent of . 0628 of a barrel of Beer? Answer, 2 galls. 1 qt. .0432 54. What is the equivalent of .7575 of a pound? Ans. 15s. 1 d. .2 55. What is the equivalent of . 375 of a guinea? 56. What is the equivalent of . 04535 of a mile? Ans. 7s. 10 d. Answer, 14 poles, 2 yds. 2 ft. 5 in. 1 b. c. . 128 57. What is the equivalent of . 42857 of a month? Answer, 1 wk. 4 days, 23 hrs. 59 min. 56 sec. . 544 58. What is the equivalent of . 2765 of a year? Answer, 100 days, 23 hrs. 47 min. 56 sec. CASE 3d. To reduce numbers of different names to their equivalent decimal values. RULE. Place down the lowest name mentioned. Divide this by as many as make one of the next higher denomination, annexing ciphers to the dividend as you require. Before this quotient place the next higher name, and divide by as many as make one of the next higher denomination. And so on throughout, and the last quotient is the decimal required. Proof of the preceding Example by the last Case. What is the equivalent of .566964, &c. of a Cwt. 2.267857 (with Remainder.) 28 2142860 (with Remainder.) 7.500000 8.0 Answer, 2 qrs. 7 lb. 8 oz. EXERCISES. 59. Reduce 9 d. to the decimal of a shilling. 60. Reduce 14s. 6d. to the decimal of a £. Answer, .791666, &c. Answer, .725 Answer, .871875 61. Reduce 17s. 54d. to the decimal of a £. 62. Reduce 5 oz. 12 dwts. 7 grs. to the decimal of a pound troy. Answer, .4678819, &c. 63. Reduce 1 rood, 30 poles, to the decimal of an acre. 64. Reduce 3 qrs. 18 lb. to the decimal of a Cwt. Answer, .4375 Answer, .910714 65. Reduce 3 bush. 1 pk. to the decimal of a quarter. Answer. .40625 66. Reduce 1 qr. 1 nl. to the decimal of a yard. Answer, .3125 67. Reduce 3 weeks, 6 days to the decimal of a month. Answer, .964285, &c. 68. Reduce 7s. 10 d. to the decimal of a guinea. 69. Reduce 18s. 113d. to the decimal of a pound. Answer, .948958, &c. 70. Reduce 3 qrs. 17 lbs. 9 oz. 15 dr. to the decimal of a Cwt. Answer, .907331, &c. RULE OF THREE IN DECIMALS. RULE. If the given numbers require it, reduce them to decimals by the last Case. State the question, as in the common Rule of Three :multiply the second and third terms together, and divide by the first: the quotient is the answer, in the same name as that to which the last term was reduced. Example. If 5 Cwt. 2 qrs. 16 lb. of Sugar cost £25. 18s. 94d., what cost 4 lb. ? 71. How much Pepper, at 1s. 4 d. per lb., can I buy for £12. 15s. 9d.? Answer, 1 Cwt. 2 qrs. 18 lb. Answer, £400. 16s. 72. If £250. 10s. gain £12. 10s. 6d. in 12 months, what principal will gain the same in 7 months? 73. How much Stuff, of a yard broad, will line 7 yards of Cloth, of a yard broad? Answer, 9 yards +.0416. 74. At £2. 19s. per ounce, what is the value of 19 oz. 3 dwts. 5 grs.? Answer, £56. 10s. 5d.+.2981. 75. At 12s. 4d. per ell English, required the value of 49 yards. Answer, £24. 5s. 11d.+.1984. 76. If silver be worth 4s. 7d. per ounce, what is the value of 2 lb. 5 oz. 17 dwts. 5 grs.? Answer, £6. 16s. 101d.+.2867. 77. If 4 yds. 3 qrs. of Cloth cost £1. 5s. 7 d., how many yards can be purchased for £20. 13s. 9d.? Answer, 76 yds. 2 qrs. 3 nls.+.1216. 78. How many Cwt. of Sugar can be purchased for £36.75, at 94d. per lb.? 79. If 3 yards of Cloth were sold for 12s. 1d., what would be the cost of 7 pieces, each 25 yards? |