SOLUTION: A bar of metal contains 10% silver. Another bar contains 15% silver. How many kilograms of each must be taken to make a 10 kilogram bar containing 12% silver.

Question 216026: A bar of metal contains 10% silver. Another bar contains 15% silver. How many kilograms of each must be taken to make a 10 kilogram bar containing 12% silver.
Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
Let x = amt at 10%,,,and y= amt at 15%
.
(1) x + y = 10,,,,,,,or y=10-x
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(2) .10*x +.15*y = .12*10,,,,,,,,,silver balance
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subst from (1)
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.1x +.15(10-x) = .12*10
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.1x +1.5 - .15x = 1.2,,,,,combine like terms
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-.05x = -.3
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x=6 kg,,,,,,,,,,,,,,y=10-6=4 kg
.
.
check,,,,,.1(6) +.15(4) = .6 + .6 =1.2 = .12*10 ,,,,,,ok
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