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valkas [14]
3 years ago
11

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

es?
Mathematics
1 answer:
Norma-Jean [14]3 years ago
4 0

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\%\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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