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Mixture problem

How many kilos containing 6% butterfat must be added to 220 kilos containing 22% butterfat to make a mixture containing 10% butterfat... need an answer thanks.. like now.. I cant answer this simple math.. hate myself for that...



Sagot :

69 Butterfat ︻芫══一(-_-)

you're given that 220kg contains 22% of bf
and that you must add a certain amount which contains 6% of bf such that the resulting mixture is 10%bf
so you'll have:
let 'x be the amount of of which that contains 6% bf
220kg(22%) + x(6%) = 10%(220+x)
220(0.22) + 0.06x = 0.10(220+x)
48.4 + 0.06x = 22 + 0.1x
48.4 - 22 = 0.1x - 0.06x
26.4 = 0.04x
x = 660 kg