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givi
2 months 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:
tester [12.3K]2 months ago
4 0

Response: Ruben initially possessed 50 books before making any purchases.

Explanation in steps: Ruben's acquisition of 6 new books led to a 12% increase in his collection.

We aim to determine the quantity of books Ruben had prior to his recent purchases.

Let x represent the original count of books Ruben held before buying more.

Based on the provided data, we derive the following equation:

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.

Consequently, the original number of books Ruben had before making additional purchases equals 50.

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