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A recipe for a cake instructs you to bake it at 220° C for 45 minutes. How many degrees Fahrenheit is this?

User Popa
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1 Answer

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This is an exercise on Thermometric scales.

We have as data:

  • T = 220 °C
  • T = °F ??

We apply the following formula:


\large\displaystyle\text{$\begin{gathered}\sf ^(\circ)F=(9)/(5)\ ^(\circ)C+32 \end{gathered}$}

We substitute data in the formula:


\large\displaystyle\text{$\begin{gathered}\sf ^(\circ)F=(9)/(5)*220+32 \end{gathered}$}

First multiply 9 x 220, then the result of this division is divided by 5.


\large\displaystyle\text{$\begin{gathered}\sf =396+32 \ \ \to \ \ [Add] \end{gathered}$}


\boxed{\large\displaystyle\text{$\begin{gathered}\sf =428 \ ^(\circ)F \end{gathered}$}}

Therefore the cake recipe that should be baked at 220 °C for 45 minutes, on the Fahrenteir scale is 428 °F. Which indicates that it will be very hot.

User Abhishek Maurya
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