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Melissa needs to memorize words on a vocabulary list for Russian class. She has memorized 30 of the words, which is five-sixths of the list. How many words are on the list?

2 Answers

3 votes
Answer:
The list has 36 words

Step-by-step explanation:
Assume that the number of words on the list is x.
We are given that:
5/6 of the number of words on the list is equal to 30 words.
This means that:
(5/6)*x = 30
Solve for x as follows:
(5/6)*x = 30

5x = 6*30
5x = 180
x = 180/5
x = 36

Hope this helps :)
User Windowsill
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7.3k points
4 votes
We know that 30 is 5/6 of the list. So we can find out how many words are on the list with the following equation:


(5)/(6) x=30

Solve for x by isolating it. First we multiply both sides by 6 to cancel out the one-sixth.


5x = 180

Next divide both sides by 5 to cancel out the 5 being multiplied to the x.


x = 36

The answer is 36 words.


User Divinas
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7.7k points