Respuesta :
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
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.