Question

henry needs to memorize words on a vocabulary list for german class. he has memorized 36 of the words, which is three - fourths of the list. how many words are on the list?
words

Explanation:

Step1: Define the variable

Let \( x \) be the total number of words on the list.

Step2: Set up the equation

We know that \( \frac{3}{4} \) of the list is 36 words. So we can write the equation:
\( \frac{3}{4}x = 36 \)

Step3: Solve for \( x \)

To solve for \( x \), we multiply both sides of the equation by \( \frac{4}{3} \):
\( x = 36\times\frac{4}{3} \)
\( x = 12\times4 \)
\( x = 48 \)

Answer:

48