Question

Alexa read a total of 54 books over 9 months. If Alexa has read 120 books so far, how many months has she been with her book club? Assume the relationship is directly proportional.

Answer 1

If the relation between the book read by Alexa and the number of months she takes to read them is directly proportional, then, if x is the number of months she took to read 120 books, you can write:

`(x)/(120)=(9)/(54)`

By solving for x and simplifying, you obtain:

`\begin{gathered} x=(9)/(54)\cdot120 \\ x=20 \end{gathered}`

Hence, Alexa read 120 books in 20 months