ALLI(5ATI0N ALTERNATE. I45 



of the quantities, or diiFerences thus determined, is to tlic 

 given quantity, so is each ingredient, found by linking, to 

 the required quantity of each. 



EXAMPLES. 



1. How many gallons of water at os. per gallon must 

 be mixed with wine worth 3s. per gallon, so as to fill a 

 vessel of 100 gallons, and that a gallon may be afforded at 

 23. 6d. ? 



(.36 — 30 



36 



36 : 100 : : 6 : 3^ • loo : : ^o ; 



6 30 



36)600(16 3^)3000(83 



36 '288 



240 120 



216 108 



24 12 



Ans. 83y|- gallons of wine, and i6j|- of water. 



2. A grocer has currants at 4d. 6d. pd. and i id. per lb. 

 and he would make a mixture of 2401b. so that it may be 



afforded 



The rates of the simples are 92 and 52, and of the compound 

 64 ; dierefore 



r 92^-1 12 of copper, 

 64] 



L52— ' 28 of gold. 



And the sum of these is 12 + 28=40, which shbuld have been 

 but 10 ; whence, by the rule, 



40 : 10 : : 12 : alb. of copper, 1 t. 



io: .0:: 28 :71b. of gold, I the answer. 



T 



