Application.

77. If 63 gallons of wine cost 167, 168. what is the price of 84 gallons?

78. How much beef can I buy for 100. If 802C. 1gr. 17. cost 650/? Answ. 123C. Igr. 22Mb

79. If 17. English money be worth 1 138. 4d. Flemish, how many pounds Flemish are in 2797, 8s. English ?

Answ. 4651. 13s. 4d.

90. I a chest containing 48 pounds of tea, cost 247 188. Sd. what is it Crot. ? 581. 38. 9d.

81. Sold 3 hogsheads of port wine containing 240 galJons for 587, and am to receive ready money for two of them, containing 126 Gallons! what must I receive ?

Answ. 30l. 98'

QUESTIONS for EXERCISE.

82. What must I pay for 16351, deducting ' cent. for prompt payment? Answ. 16181. 138.

83. Bought 6 pipes each containing 121 gallons of wine, at 48. 9d. gallon, by auction; and for prompt payment am allowed 1s. in the pound; what must I pay for said wine, and what am I abated cent.?

Answ. I must pay 1637. 16s. 1d. and am abated 5

cent.

84. If I have owing to me 1000l. and compound with my debtor at 12s. 6d. 4 pound; how much must I receive?

Answ. 6251.

85. A sets

85. A sets out from a certain place and goes 12 miles a day, 5 days after B sets out from the same place, the same way, and goes 16 miles a day; in how many days will he overtake A? Answ. 15 days.

86. If I buy tallow at 35

ton, how must I sell

ton to gain by 10 ton as much as 1 ton cost

Answ. 381. 10s.

87. A goldsmith bought of a merchant a wedge of gold, which weighed 14b 30z, 8dwt, for 5141. 4s. what did he pay ounce? Answ. 31.

88. A grocer bought 3C. 1qr. 141b of cloves at 2s. 4d: pound, and sold them for 527. 14s. whether did he gain or lose by the bargain? Answ. he gained 8. 12s.

89. A draper bought of a merchant 3 packs of cloth, each pack had 4 parcels in it, and each parcel contained 10 pieces, each piece 26 yards; he gave after the rate of 41. 16s. for 6 yards; what came the 8 packs to, and what is it worth yard? Answ. 66561, at 16s. ' yard.

90. How many dozen of stockings at 11 groats a país ean I buy for 190l. 9s. 8d. Answ. 86 dozen 7 pair.

91. If I buy 100 yards of Ribbon at 2 yards for a shil☛ ling, and 100 yards ditto, at 3 yards for a shilling, and sell them a gain for 2 shillings the 5 yards, whether do I gain or lose, and how much? Answ. I lose 3s. 4d.

92. Bought 45 barrels of beef at 21 shillings barrel, among which are 16 barrels, which, being damaged, I take them upon being allowed 4 instead of 3; I demand what I must pay for them? Answ 431. is.

93. A merchant bought 5 tun of wine for 2851. by the misfortune of a pipe staving he lost 120 gallons, but is willing to sell it so as to sustain no loss; I desire to know how he must sell it gallon? Answ. 5 shillings.

94. A gentleman who hath an estate of 2657. 19s. 2d. yearly

yearly rent, would regulate his expence in such a manner as to lay up 60 guineas a year; I desire to know how much he must spend a day? Answ. 10s 10d.

95. Imported from Holland 84 pieces of linen, which cost 5371. 128. at 4s. Pell Flemish; how many yards were there in all; in one piece; and what cost it per yard? Answ. 2016 yards in all; 24 yards in one piece; at 5s. 4d.

yard.

96. Two men depart from one place, the one goes north 7 miles a day, the other south 11 miles a day; how far are they distant the 12th day after their departure ?

Answ. 216 miles.

97. A merchant would lay out in spices 5607. viz, cloves at 4s. ibniace 78, cinnamon 38 and nutmegs at 28. and he would have an equal quantity of each sort, I demand the quantity? Answ. 700lb of each.

98. Shipped for Jamaica 550 pair of silk stockings, at 11s 6d pair, and 460 yards of Stuff at 14d. yard; in return for which I bad 46C. 3qrs. of sugar at 24s. 6d. Cut. and 1570b of indigo at 2s, 4d. b. what remains due to me of my adventure?

Answ. 102/. 12s. 114d.

99. A factor bought a certain quantity of broad cloth and drugget, which together cost 811. the quantity of broad cloth was 50 yards at 18s. yard; and for every 5 yards of broad cloth he had 9 yards of drugget: I demand how many yards of drugget he had, and what it cost him yard? Answ. 90 yards, at 8s. yard.

100. A merchant shipped for Spain 400 cloths, which produced neat 121. sterl. cloth, and is willing to have return, one half in wine at 301. tun, and the other half in rice at 28s. Cut. I demand how much of each sort Answ. 80 tun of wine,

must be returned for the cloths? and 1714C. 1gr. 4lb of rice.

101. A debtor who owes several persons 1490 5s. 10đ. compounds and pays them as far as his effects will go, which amount to no more than 9311, 8s. 73d, how much do the creditors receive d' pound? Answ. 12s. 6d.

102. If

102. If 30 pence and 40 groats buy 50 pints of wine, What is the cost of 60 quarts in current sterling coin?

Answ. 11. 18s.

103. Whereas a moydore and a crown, just 15 yards did buy;

How many ells of that same cloth for 501, had I?

Answ. 346 54

104. If from a rule of 3 foot long the shadow 5 is made, What is the steeple's height in yards that's 90 feet in shade? Anste. 18 yards.

105. If 21% of pepper cost 25d. what will c0lb of clovescome to if 3 of cloves be worth 162. of pepper?

Answ. 167. 13s. 4d.

106. How many dozen of gloves at Rd, the pair, wiil pay for 36 dozen and 8 pair of stockings at 33, 64, pair? Answ. 1994 dozen.

OF SOUND.

Sound not interrupted, is by experiments found uni formly to move about 1150 feet in one second of time.

107. How long after firing a cannon off Carrickfergus may the report be heard at Belfast, taking the distance at 9 miles? Answ. 52 seconds, 35 thirds.

108. If I see the flash of a piece of ordnance, fired by a vessel in distress at sea, which happens we will suppose early at the instant of its going off, and hear the report a minute and three seconds afterwards, how far is she off, reckoning for the passage of sound as before? Answ. 10 miles, 6 furlongs.

OF THE LEVERS.

There being three orders of Levers, or three varieties, wherein the weights, prop, or moving powers may be dif ferently applied to the vectis, or inflexible bar, in order to affect mechanical operations in a convenient manner.

Fur

For the First order, sec Page 100.

Of the Seconu und Third Order of LEVERS.

In mechanics, a Lever of the second order, is where the power acts at one end, the prop fixed directly at the other, and the weight somewhere between them.

In this order of Levers, their force is a contra proportion to their length.

In a Lever of the third order, the prop is planted at one end of the bar, the weight at the other end, and the moving force somewhere between.

109. If a lever be 100 inches long, what weight, lying 77 inches from the end, resting on a pavement, may be moved with the force of 168 lifting at the other end of the lever? Answ. 2072

110. A water wheel turns a crank, working 3 pumprods, fixed just six feet from the joint or pin; by which their several levers, each 9 feet in length, are fastened, for the sake of the intended motion; at one end of the suck. ers of the pumps being wrought by the other, shews them to be levers of the third order: now I would know what the length of the stroke in each of the barrels will be, if the crank be made to play just nine inches round its centre? Answ. 27 inches.

111. With what force ought that water wheel to be driven, which, circumstanced as in the last question, raises 3 cubic feet of water at every revolution of the wheel, each experimentally weighing 624lb. Avoirdupois, the friction of the machine rejected? Answ, 281 lb.

MOTION of BODIES with their VELOCITIES.

1. If the quantities of matter in any two or more bodies put in motion be equal, the forces wherewith they are moved will be in proportion to their velocities.

2 If the velocity of these bodies be equal, their forres will be directly as the quantities of matter contained in them.

3. If both the quantities of matter and the velocities be unequal, the forces with which the bodies are moved,