Mixing Hot And Cold

Tom's bathtub currently contains $$15^\circ \text{C}$$ water. He notices that if he adds some $$30 ^\circ \text{C}$$ water and mixes well, then the water gets warmer.

Tom would like to bathe in $$38 ^\circ \text{C}$$ water. Is it possible for him to heat the water in the bathtub up to $$38 ^\circ \text{C}$$ by adding sufficient amount of $$30^\circ \text{C}$$ water?

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