A collection of arithmetical exercises progressively arranged, by A.E. Donkin and C.H. Hodges

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Page 102 - On a piece of work 2 men and 5 boys are employed, who do half of it in 6 days ; after this 1 man and 1 boy more are put on, and J more is done in three days. How many more men must be put on that the whole may be completed in one day more ? 14.
Page 103 - The populations of 3 towns in the year 1841 were 21,326, 42,324, and 6,706 ; and in the year 1851 it was found that the first two had increased 12 and 10 per cent, respectively, and the last decreased 18 per cent. ; find the average population of the three towns in the year 1851.
Page 122 - A man embarks his whole property in four successive ventures ; in the first he clears 100 per cent., and in each of the others he loses 20 per cent.
Page 21 - ... times as fast as before, but only £ as long each day ? 107. Gun metal is composed of 11 parts of copper to 2 parts of tin. How much tin must be added to 209 lbs. of copper to make gun metal ? 108. A garrison of 1500 men has just provisions enough to allow 26 oz. of bread a day to each man for 38 dys. If the garrison is increased by 400 men, how much bread must be assigned to each man, in order that the provisions may last for 65 dys. ? 109. If 5 men...
Page 120 - ... 20% by the purchase? 38. Copper is bought at $306 per ton, payable in 6 mos. At what price should it be sold the same day, giving 8 mos. credit, in order to gain 25%, money being worth 4% ? 39. Two towns, A and B, are 30 mi. apart. The road between them goes over a hill the summit of which is 6 mi. from A. Two men set out at the same time from A and B ; the former walks 4 mi. per hour up hill and 5^ mi. per hour down hill, the latter 3£ mi. up and 4£ mi. down. How far from A will they meet?
Page 49 - Find the simple interest on £3540 10». for 3 years at 4£ per cent., and the discount on the same sum for the same time, at the same rate of interest. 4. Explain the principle upon which fractions are reduced to equivalent fractions, having a common denominator. Express by equivalent fractions with the least common denominator -, — , j- • 14 17 19 т, , ., , ,, 5371 IE' 20' aГ
Page 116 - ... the squares of the times of revolution of the planets about the sun are proportional to the cubes of their mean distances from the sun.
Page 47 - Meter (= 39.37 inches), which is the ten-millionth part of the distance from the pole to the equator.
Page 116 - The difference between the incomes derived from investing a certain sum in 5 per cent, stock at 127 and 5^.
Page 90 - A cubic inch of water converted into steam will produce a mechanical force sufficient to raise a ton weight a foot high. A force which raises a weight of 1 Ib. to a height of 1 foot performs what is called a foot-pound of work. This "footpound " is the fundamental unit of work.

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