Water mixing

We have 520 ml of hot water and 640 ml of water at 48°C. What is the temperature of approximately hot water when the resulting mixture has a temperature of 65°C?

Correct result:

x =  85.923 °C

Solution:

 520⋅ x+640⋅ 48=65⋅ (520+640)  520x=44680  x=111713≐85.923077=85.923∘C \ \\ 520 \cdot \ x+640 \cdot \ 48=65 \cdot \ (520+640) \ \\ \ \\ 520x=44680 \ \\ \ \\ x=\dfrac{ 1117 }{ 13 } \doteq 85.923077=85.923 ^\circ \text{C}

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