If equal weights of 22 carat gold (alloy of 22 parts gold and 2 parts copper by weight) and 24 carat gold (pure gold) are mixed to form an alloy, what will be the weight proportion of copper in the alloy?
1
\(\frac{1}{2}\)
2
\(\frac{1}{8}\)
3
\(\frac{1}{12}\)
4
\(\frac{1}{24}\)