(5) 13 cwt. 2 qrs. 19 lbs. : 41 cwt. 1 lb. :: £4. 17s. 6d. 4593 lbs. :: 1170d. or, 1531 lbs. the conveyance of 41 cwt. 1 lb., for 35 miles; whence, we shall have, for the most obvious reason, for carrying 41 cwt. 1 lb., the distance of 49 miles. £24 in 15 months: therefore we shall now have (7) Since, a fifth part of 20 days 4 days, we have 4 days or, 1 perform the proposed work in a fifth part of the time: and it follows immediately that for a piece of work four times as great, 60 × 4 = 240 men will be required. a capital of £385 in 7 months: whence, £38. 10s. £60. 10s. :: 7 mo. The solution of each of these examples may be conducted by other methods, as in the instance given in the text and by viewing them in different lights, a very comprehensive understanding of the rule may soon be acquired, so as to justify the observation made at the end of Ex. (5) of Article (66): but much practical facility will hereafter be afforded to the student by the simple considerations presented to his notice in Article (139) of the Chapter on Ratio and Proportion. CHAPTER IV. VULGAR FRACTIONS. MISCELLANEOUS QUESTIONS. PAGE 96. (1) Because of a ticket cost £4. 10s.: 3 16 cost £1. 10s.: therefore a whole ticket cost £1. 10s. × 16 = £24: whence, the price of one fifth of a ticket 1 = of 5 9 17 561 the price of the ship was 4.00 561 X the price of which must therefore of £850 = 4 × £50 = £200. 139 (3) Here, 69 miles × 1760 yards = 139 × 880 yards and because 35 yards = 32 metres, we have 31 whence, the duty on £1800. 18s. 9d. = of £1800. 300 duty on 5763 bushels: therefore the duty on 1 bushel = 7 d. (5) Here, 1 English foot = 12 inches = Cremonese foot: whence, 1 metre = 391000 371 inches 39, 2115 Cremonese feet. 911371 = 14000 1 which is £60: therefore of his income = £12, and 18 the whole income will be £12 × 18 (8) The parts detached 9 11 2 £216. + = 28 7 28 28 28 that of the company remains which is 1350 men: and the whole company consisted of 28 × 150 men = 4200 of the vessel is empty at first, it is contains 35 gallons; therefore the capacity of the vessel 5 12 of the length is 10 feet, and the 'whole length will 12 therefore be x 10 feet 24 feet. = 5 (11) Since is left to the elder child, 1 11 20 is the share of the younger: therefore of the estate is valued at £525, so that its entire value = £15400 whence, the value of the ship 7 = of £17600 8 40 = of 17 field = 1 ac. 3 ro. 26 po.: therefore the field itself 1ac. 3ro. 26 po. = 4ac. 2ro.; of which = 0 ac. 3 ro. 24 po. received by B: whence, C received of the difference |