LESSONS IX J50TANY. 



65. The average weight of 69 persons w 11 stone; of 70 

 persona, 11 stone 1 Ib. What is the weight of the 70th .- 



1'u pay a bill of .300 three months before date, a person 

 stock at 00. Discount being allowed at 4 per 

 oout. per annum, how much stock must he sell, and what does 

 he gain or lose by paying at onco ? 



67. A shilling weighs 3 dwt. 15 grains, and is J, 7 , fine. What 

 is the value of (1) a pound Troy ; (2) a pound avoirdupois of 

 pure silver ? 



68. A person had two-fifths of a coal mine ; he sold three- 

 fourths of hU share, and divided the remainder between his two 

 sons, giving four-fifths to the older and .200 to the latter. 

 Find the value of the mine. 



1 iy selling tea at 5s. 4d. a pound, a grocer clears one- 

 eighth of his outlay ; he then raises the price to 6s. What does 

 ho clear per cent, at the latter price ? 



70. If a pipe of 6 inches bore discharges a certain quantity of 

 water in 4 hours, in what time v/ill 3 pipes of 1, 2, 3 inches bore 

 respectively discharge the same quantity, the water flowing in 

 each case with the same velocity P [N.B. The bores of the 

 pipes are proportional to the squares of their diameters.] 



71. A piece of work must be finished in 36 days, and 15 men 

 are set to do it, working 9 hours a day ; but after 24 days it is 

 found that only jj of the work is done. If 3 additional men be 

 then put on, how many hours a day will they have to labour in 

 order to finish the work in time P 



72. Seven men had water enough for 13 days, allowing 1| 

 pints per man doily. After 5 days some water escaped, and one 

 man died, and the water lasted the 13 days. How much was 

 lost? 



73. A has twice as much money as B. They play together 

 for a certain stake. At the end of the first game B wins from 

 A one-third of A's money. What fraction of the sum B now 

 has must A win back in the second game, that they may have 

 exactly equal sums P 



74. If 5 pumps, each having a length of stroke of 3 feet, 

 working 15 hours a day for 5 days, empty the water out of a 

 mine, what must be the length of stroke of each of the 5 pumps, 

 which, working 10 hours a day for 12 days, would empty the 

 same mine, the strokes of the former set of pumps being per- 

 formed four times as fast as those of the latter ? 



75. From 1797 to 1821 cash payments were suspended. 

 Before that time the value of gold was 3 17s. lOJd. per oz. ; 

 but in 1815 it rose to 4 13s. 6d. per oz. How much per cent, 

 had the currency depreciated ? 



76. Two clocks, one gaining 3 min. and the other losing 2 

 min. a day, are set right at noon. What is the time by the 

 first clock when the second indicates noon a week afterwards ? 



77. A trader fits out 4 ships in succession to run a blockade : 

 he reckons the total outlay on each ship after the first to be 8 

 per cent, more than on the one that preceded it. The first and 

 third get into port, and ho gains 160 per cent, on their cost, 

 while the second and fourth are taken. What is his gain per 

 cent, on the whole P 



78. The price of raw cotton being 5d. a pound, and of cleaned 

 cotton 6d. a pound, how much per cent, in weight must be lost 

 in cleaning, the cost of cleaning being neglected ? 



79. The regulations respecting Great Exhibition tickets, from 

 the opening, on Thursday, May 1, to Saturday, October 18, were 

 as follows : Three guinea season tickets alone admit to the 

 opening. 1 was charged on May 2nd and 3rd, and on three 

 exceptional days (not in May, nor shilling days). From May 5th 

 to 17th the charge was 5s., and for the rest of the month 2s. 6d., 

 except one day in each week, when the charge was 5s. After 

 May the charge for admission was Is. on four days of the week. 

 If of the remaining days 18 were 5s. days, and the rest 2s. 6d. 

 days, estimate the saving, by taking a season ticket, of a person 

 who proposed to be a daily visitor. 



80. If 5 per cent, be lost by selling a horse for 38, at what 

 price must three others, which cost each the same as the first, 

 bo sold, in order to gain 10 per cent, on the whole? 



81. What would be the value of 135-74, if the local value of 

 the digits increased eightfold from right to left ? 



82. How many plots of ground of 33J square yards can be cut 

 from a, field containing 4 acres, 3 roods, 9 poles, 19$ square 

 yards, whose breadth is 135 yards? and what will be the 

 width of the remaining strip, after the plots are marked off ? 



83. The discount on a certain Bum for one year is .27 10s., 



and the interest on the amo um for the iuune time is 28 3*. 94. 

 Find the rate per cent, and the sum. 



84. A person's income it derived from the proceed* of 4550 

 at a certain rate per cent., and 5420 at 1 per cent more thau 

 the former. His whole income is 453. Determine the rate*. 



85. One clock gains 4 minutes and another lose* 4 minute* 

 in 12 hours. Find the time indicated by each clock, when one 

 appears to have gained 16i minute* upon the other, supposing 

 them to start together at noon. 



86. The gold coinage of one country contains 1 part silver to 

 1 1 parts of gold without alloy, that of another 1 part of alloy to 

 23 parts of gold. It is found that 46 of the first weigh aa much 

 as 88 i of the second. The intrinsic value of silver is ^th that 

 of gold. Find the par of exchange. 



87. A man insures his life to the extent of 10 per cent, upon 

 his whole income ; after deducting this, he pays 8d. in the 

 pound income-tax on the remainder. His net income is 957. 

 Find his gross income. 



88. A can do a piece of work in 6 days, which B can destroy 

 in 4. A has worked 10 days, during the hist 5 of which B baa 

 been destroying ; how many days must A now work alone in 

 order to complete his ta.^k ? 



89. A and B lay out equal sums in trade. A gains 100, 

 and B loses so much that his money is now only | of A's. But 

 if each gave the other J of his present sum, B's loss would be 

 diminished by one-half. What had each at first P 



90. On certain goods the import duty is 150 per cent, on 

 their prime cost. The duty is reduced one-half, but the cost of 

 production increases 10 per cent. Determine what would have 

 been the price of goods sold now at 46 4s., allowing 20 per 

 cent, profit in each case. 



LESSONS IN BOTANY. XXXV. 



SECTION CVI. THYMELACEJE, OE DAPHNADS. 



Characteristics : Perianth tubular, 4 or 5-clef t ; stamens peri- 

 gynous, their number equal to the divisions of the perianth, 

 occasionally double or fewer ; ovary free, nni-locular ; ovules 

 pendent; fruit drupaceous or a nut, ordinarily one-seeded, 

 exalbuminons ; stem usually ligneous ; leaves simple. 



All the species of the genus Daphne contain an acrid principle, 

 which gives them a vesicating property. The Daphne Fortuni 

 is a very beautiful plant ; it was brought from China by Mr. 

 Fortune, some years ago, and is now cultivated in England. 

 This gentleman also introduced the golden-flowered Edgoworthia, 

 or the Edgcworthia chrysantha (Fig. 265). It is a very beau- 

 tiful member of the Daphne tribe, and must not bo confounded 

 with the Reptonia, which was originally called Edgeworthia. 

 SECTION CVII LOEANTHACE2E. 



Char" Calyx adherent to the ovary ; petals free or 



coherent, epigynons, four, six, or eight, valvate in activation or 

 absent ; stamens opposite to the petals or to the divisions of 

 the simple perianth ; ovary uni-locular ; ovule pendent ; berry 

 one-seeded ; embryo placed at the surface of an abundant fleshy 



