Question

The linear equation \[C = \dfrac{{5F - 160}}{9}\], converts the Celsius to Fahrenheit. If temperature is \[{104^ \circ }F\], then what is the temperature in Celsius?

Answer 1

Hint:
We are given the formula for finding the temperature in Celsius if it is given in Fahrenheit. We will directly use it by putting the value of Fahrenheit temperature.

Complete step by step solution:
Given that,
\[C = \dfrac{{5F - 160}}{9}\]
Where C: Temperature in degree Celsius
 F: Temperature in degree Fahrenheit
We are given temperature \[{104^ \circ }F\] .
Putting this value in equation or formula given
\[C = \dfrac{{5F - 160}}{9}\]
\[
   \Rightarrow C = \dfrac{{5 \times 104 - 160}}{9} \\
   \Rightarrow C = \dfrac{{520 - 160}}{9} \\
   \Rightarrow C = \dfrac{{360}}{9} \\
   \Rightarrow C = {40^ \circ } \\
\]

Hence it is \[{40^ \circ }C\].

Note:
Both the units mentioned Celsius and Fahrenheit are used to measure temperature. Here just put the value of degree Fahrenheit and find the value.
Also they can turn the question as the given temperature is in Celsius and will be asked to find it in degree Fahrenheit. In that case just modify the formula as
\[F = \dfrac{9}{5}C + 32\].