Mathematics: Ruben bought 6 new books for his collection. this increased his collection by 12%. how many books did he have before his purchases?

Ruben bought 6 new books for his collection. this

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sunshine0613

12.06.2020

Mathematics

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

$x+6=x+12\%\times x\\\\\\\Rightarrow 6=\dfrac{12}{100}x\\\\\\\Rightarrow 6=\dfrac{3x}{25}\\\\\\\Rightarrow 3x=150\\\\\Rightarrow x=\dfrac{150}{3}\\\\\Rightarrow x=50.$

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

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

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