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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