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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