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

Respuesta :

alleah77

Answer:

36

Step-by-step explanation:

1. Cross Multiply. [tex]\frac{5}{6} =\frac{30}{x}[/tex]

2. Solve. [tex]\frac{5}{6} =\frac{30}{x} =36[/tex]

3. Your answer is 36


Padoru

If 30 words is five-sixths of the list, then six-fifths of 30 should be the whole list (this can be proven by writing the equation [tex]30 = [5/6]x[/tex] and solving for x)

We're going to multiply 30 by the inverse of 5/6 (which is 6/5) to get the total number of words in the list.

[tex]30 \times [6/5]=36[/tex]

Thus, there are 36 words on the list.

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