SOLUTION: How many pounds of a 35% silver alloy must be melted with a how many pounds of a 65% silver alloy to obtain 20 pounds of 41% silver alloy?

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Question 391232: How many pounds of a 35% silver alloy must be melted with a how many pounds of a 65% silver alloy to obtain 20 pounds of 41% silver alloy?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
How many pounds of a 35% silver alloy must be melted with how many pounds of a 65% silver alloy to obtain 20 pounds of 41% silver alloy?
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Equation:
silver + silver = silver
0.35x + 0.65(20-x) = 0.41*20
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Multiply thru by 100 to get:
35x + 65*20 - 65x = 41*20
-30x = -24*20
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x = 16 lbs (amt. of 35% alloy needed in the mix)
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20-x = 4 lbs (amt. of 65% alloy needed in the mix)
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Cheers,
stan H.

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