Answer
$40$ grams.
Work Step by Step
Let $y$ be the amount of $12$ karat gold, then $60-y$ is the amount of pure gold.
Then our equation is: $y\cdot\frac{12}{24}+(60-y)\frac{24}{24}=60\cdot\frac{16}{24}\\0.5y+60-y=40\\20=0.5y\\40=y$
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