Arithmetic, Rational And Practical. Wherein the Properties of Numbers Are Clearly Pointed Out, the Theory of the Science Deduced From First Principles, the Methods of Operation Demonstratively Explained, And the Whole Reduced to Practice, in a Great Varie

Cover Arithmetic, Rational And Practical. Wherein the Properties of Numbers Are Clearly Pointed Out, the Theory of the Science Deduced From First Principles, the Methods of Operation Demonstratively Explained, And the Whole Reduced to Practice, in a Great Varie
Arithmetic, Rational And Practical. Wherein the Properties of Numbers Are Clearly Pointed Out, the Theory of the Science Deduced From First Principles, the Methods of Operation Demonstratively Explained, And the Whole Reduced to Practice, in a Great Varie
John Mair
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To quickly assess the difficulty of the text, read a short excerpt:


at 3 s. ; and 40 bufhels, at 2 s. : What is. a bufhcl of the mixture worth ? Anf* 3 s.
Bujij, J. J-* \ 20, at 5, comes to 100 36, at 3 108 40, at % 8q 96 288 ^ Bujlo. J-. BiiJJo. J-.
If 96 : 288 :: I 13 3. A tobacconift mixeth 30 lb. of tobacco, at pd, per lb. with 60 lb. at 14 d. and 24^ lb. at 2 s. per lb, s What is a pound of the mixture worth ?
lb. Rates, L.
30 x.0375 = i.i25 60 X. 058^ = 3. 5 24.7s X -I =2.475 114.75 7.1 lb. I. lb. L.
If 114,75 * 7-^ • • J^ • •o6i{ J", d.
1 1/1.75)7. iooo(
....o6i8 =1 2| 68850 21 500 H475 100250 91800 8450 Note I . When the quantity of each fimple is the fame, the rate of the mixture is readily found by add- ing the rates of the fimples, and dividing their fum by the number of fimples, thus.
Suppofe Hosted by Google Chap. Vlir. ALLIGATION. 115 Suppofe a grocer mixes feveral forts of fugat, and of each an equal quantity, viz. at 50 s. at 54 s. and at 60 s. per C. the rate of the mixture will be 54 s. 8 d.
per C. ; for, J-. St d, 5^+54 + and 3)164(54 8 Note 2.


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