Mixing Celsius and Fahrenheit

Add up three temperatures:

5°F +6°F +0°C

Correct result:

t₁ =  43 °F
t₂ =  -11.6667 °C

Solution:

$$\begin{gathered} (F-32)\cdot {\displaystyle \frac{5}{9}}=C \\ {t}_1=5+6+(0\cdot {\displaystyle \frac{9}{5}}+32)=43^{\circ }\text{F} \end{gathered}$$

$t_2=(5+6-32)\cdot {\displaystyle \frac{5}{9}}+0=-{\displaystyle \frac{35}{3}}=-11.6667^{\circ }\text{C}$

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Showing 1 comment:

Math student

Hi
The above solution is incorrect as 0 degree Celsius is 32 degree Fahrenheit. Hence, the answer is 5 degree F + 6 degree F + 32 degree F = 43 degree F

Thank you

1 year ago  Like

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