SOLUTION: How much quantity each of pure tin and iron must be added to 600 kilograms of an alloy containing 20% tin and 40% iron to make an alloy which is 25% tin and 50% iron?

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Question 907669: How much quantity each of pure tin and iron must be added to 600 kilograms of an alloy containing 20% tin and 40% iron to make an alloy which is 25% tin and 50% iron?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
.20*600=600/5=120 kilos of tin we want .25 or 1/4 or 25%
.40*600=240 kilos of iron we want 50% or .5 or 1/2
(1) +%28+a+%2B+120+%29+%2F+%28+a+%2B+b+%2B+600+%29+=+.25+
(2) +%28+b+%2B+240+%29+%2F+%28+a+%2B+b+%2B+600+%29+=+.50+
(a + 120 ) / ( a + b + 600 ) = .25,
( b + 240 ) / ( a + b + 600 ) = .50
a=120 tin
b=240 iron
240/960=1/4
480/960=1/2