SOLUTION: Alloys A and B are composed of metals X and Y in the ratios 5:3 and 6:7 respectively by weight. How many kg of X must be melted along with 20 kg of alloy A and 65 kg of alloy B so

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Question 402069: Alloys A and B are composed of metals X and Y in the ratios 5:3 and 6:7 respectively by weight. How many kg of X must be melted along with 20 kg of alloy A and 65 kg of alloy B so as to produce a new alloy containing 60% by weight of X
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
x+%2B+20%2A%285%2F8%29+%2B+65%2A%286%2F13%29+=+%28x+%2B+20+%2B+65%29%2A0.60
==> x + 12.5 + 30 = 0.60x + 12 + 39
==> x + 42.5 = 0.60x + 51
0.40x = 8.5
x = 21.25 kg of alloy X.