Question

Ruben bought 6 new books for his collection. This increased his collection by 12%. How many books did he have before his purchases?

Answer 1

Answer: The required number of books that Ruben had before purchases is 50.

Step-by-step explanation: Given that Ruben bought 6 new books for his collection that increased his collection by 12%.

We are to find the number of books that Ruben had before purchases.

Let x denotes the number of books that Ruben had before purchases.

Then, according to the given information, we have

`x+6=x+12\%* x\\\\\\\Rightarrow 6=(12)/(100)x\\\\\\\Rightarrow 6=(3x)/(25)\\\\\\\Rightarrow 3x=150\\\\\Rightarrow x=(150)/(3)\\\\\Rightarrow x=50.`

Thus, the required number of books that Ruben had before purchases is 50.