SOLUTION: Gold and copper are heavier than water by 19 and 9 times respectively. In what proportion should they be mixed to form an alloy so that it will be heavier than water by 12 times?

Question 987996: Gold and copper are heavier than water by 19 and 9 times respectively. In what proportion should they be mixed to form an alloy so that it will be heavier than water by 12 times?

Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
Let x = the fraction of the gold alloy. Then 1-x will be the fraction of the copper alloy.
So we can write the following equation:
19x + 9(1-x) = 12
Solve for x:
10x = 3
x = 3/10 = 0.3
1-x = 0.7
So the proportion is 7:3 copper to gold
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