# 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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