(A)   Reamur

\begin{equation*} \begin{split} \frac{60 - 0}{x - 0} & = \frac{100 - 0}{80 - 0} \\\\ \frac{60}{x} & = \frac{\cancelto {5} {100}}{\cancelto {4} {80}} \\\\ \frac {60}{x} & = \frac {5}{4} \\\\ 5 \:.\: x & = 60 \:.\: 4 \\\\ 5 \:.\: x & = 240 \\\\ x & = \bbox[5px, border: 2px solid magenta] {48^{\text{o}} \text{ R}} \end{split} \end{equation*}

(B)   Fahrenheit

\begin{equation*} \begin{split} \frac{60 - 0}{x - 32} & = \frac{100 - 0}{212 - 32} \\\\ \frac{60}{x - 32} & = \frac{\cancelto {5} {100}}{\cancelto {9} {180}} \\\\ \frac {60}{x - 32} & = \frac 59 \\\\ \cancelto {1} {5} \:.\: (x - 32) & = \cancelto {12} {60} \:.\: 9 \\\\ x - 32 & = 12 \:.\: 9 \\\\ x - 32 & = 108 \\\\ x & = \bbox[5px, border: 2px solid magenta] {140^{\text{o}} \text{ F}} \end{split} \end{equation*}

(C)   Kelvin

\begin{equation*} \begin{split} K & = C + 273 \\\\ K & = 60 + 273 \\\\ K & = \bbox[5px, border: 2px solid magenta] {333 \text{ K}} \end{split} \end{equation*}

Require Basic Membership

Require Basic Membership

Require Basic Membership