At the Barber's

Algebra Level 2

You have two solutions of hydrogen peroxide: a \(30\)% solution and a \(3\)% solution and mix them to get a \(12\)% solution. If the ratio of the required amount of the two solutions is found to be in the form \( \frac{a}{b}\), where \(a\) and \(b\) are coprime positive integers, then what is \( a + b \)?

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