SOLUTION: How much pure gold (24 karat) must be mixed with 60% gold to get 20 grams of 75% pure gold? I'm not necessarily asking for the answer but how to set up the equation to solve for it

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Question 997356: How much pure gold (24 karat) must be mixed with 60% gold to get 20 grams of 75% pure gold? I'm not necessarily asking for the answer but how to set up the equation to solve for it.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = grams of pure gold needed
Let +b+ = grams of 60% gold needed
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(1) +a+%2B+b+=+20+
(2) +%28+a+%2B+.6b+%29+%2F+20+=+.75+
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There are 2 equations and 2 unknowns,
so it's solvable