Given:
Lucy needs to memorize words on a vocabulary list for Korean class.
Let the number of words on the list = x
She has memorized 20 of the words, which is four-fifths of the list.
So, we can write the following equation:
![(4)/(5)x=20](https://img.qammunity.org/2023/formulas/mathematics/high-school/fttnvnbdbgpphfo1ykloxi4mamqjb32uvq.png)
Solve the equation for (x), multiply both sides by 5/4
![\begin{gathered} (5)/(4)*(4)/(5)x=(5)/(4)*20 \\ \\ x=(100)/(4)=25 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/nubi9wjurbtiqp9o22i7z9i4akfbarfda6.png)
So, the answer will be:
The number of words on the list = 25