SOLUTION: How much tin and how much lead must be added to 700 pounds of an alloy containing 50 percent tin and 25 percent lead to make an alloy which is 60 percent tin and 20 percent lead?

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Question 769652: How much tin and how much lead must be added to 700 pounds of an alloy containing 50 percent tin and 25 percent lead to make an alloy which is 60 percent tin and 20 percent lead?
Found 2 solutions by stanbon, richwmiller:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How much tin and how much lead must be added to 700 pounds of an alloy containing 50 percent tin and 25 percent lead to make an alloy which is 60 percent tin and 20 percent lead?
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Equation:
tin + tin = tin
0.50*700 + 1.00x = 0.60(700+x)
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50*700 + 100x = 60*700 + 60x
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40x = 10*700
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x = (1/4)*700 = 175 lbs (amt of tin to add)
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Cheers,
Stan H.
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Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
.50*700=350 tin
.25*700=175 lead
(a + 350 ) / ( a + b + 700 ) = .60,
( b + 175 ) / ( a + b + 700 ) = .20
a=175., add 175 tin
b=0. add 0 lead
525/875=.6
175/875=.2