Question

What temperature on the Fahrenheit scale is twice the value on the Celcius scale?

Answer 1

Step 1: Relation between the Fahrenheit scale and the Celcius scale

The Fahrenheit scale and the Celcius scale are related as:

$F=\frac{9}{5}C+32$

and $F=2C$ (Given)

Step 2: Substitute the value of $F$ in the above formula

$$\begin{gathered} 2C=\frac{9}{5}C+32 \\ 2C-\frac{9}{5}C=32 \\ 0.2C=32 \\ C=160°C \end{gathered}$$

Step 3: Substitute the value of $C$ in $F=2C$ to get the value of $F$

$$\begin{gathered} F=2\times 160 \\ F=320F \end{gathered}$$

Hence, the temperature on the Fahrenheit scale is twice the value on the Celcius scale is $320F$.