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Lucy needs to memorize words on a vocabulary list for Korean class. She has memorized 20 of the words, which is four-fifths of the list. How many words are on the list?

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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

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}

So, the answer will be:

The number of words on the list = 25

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