Pikes System of Arithmetic Abridged to Which Are Added Appropriate Questions

Nicolas Pike

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M.
As 24 : 360 X 51 :: 1 : 12f Ans.
20. If a staff, 4 feet long, cast a shade (on level ground) 7 feet, what is the height of that steeple, whose shade, at the same time measures 198 feet?* F sh. F. Hei. F. Sh. F. Hei. As 7 : 4 :: 198 : 113| Ans.
*As the rays oflight from the sun may be considered parallel, line lengths of the shad- ows must bo proportioned to the heights of the objects. Hence the reason of the state- ment of this question.
SINGLE RULE OF THREE. 139 21. Said Harry to Dick, my p...urse and money are worth 3J guin- eas, but the money is w6rth eleven times as much as the purse ; pray, how much money is there in it ?
Ans. 4 3s. 5d.
22. If f of a yard cost of a, what will T 7 T of a yard cost ?* : : : T 7 T : |X T V4=ttf Answer. Or, | : f :: T 7 T : |XiX T y^fi = l 7s. IJJd.
23. There is a cistern, having four cocks ; the first will empty it in ten minutes ; the second in 25 minutes ; the third in 40, and the fourth in 80 minutes j in what time will all four, running together empty it ?

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