Difficult# Maximization of Utility: Budget Not Included

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Suppose that an individual’s utility function is given by $U(X,Y)=5X^{0.2}Y^{0.8}$.

If the price of good X is \$1, the price of good Y is \$2, and you are told that this consumer chooses to consume 12 units of Y, how many units of X does she consume?