SOLUTION: How many grams of 50% silver alloy and a 10% silver alloy must be mixed to obtain 24 grams of a 25% silver alloy?

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Question 355104: How many grams of 50% silver alloy and a 10% silver alloy must be mixed to obtain 24 grams of a 25% silver alloy?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = # of grams of 50% silver alloy
Then 24 - x = # of grams of 10% silver alloy.
0.50x%2B0.10%2824+-+x%29+=+0.25%2A24,
0.50x%2B2.4+-+0.10x+=+6
0.40x+=+3.6,
x+=+9, and 24+-+x+=+24-9+=15.
Therefore he has to mix 9 grams of 50% silver alloy, and 15 grams of 10% silver alloy.