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  4. What quantity (in mL) of a 45 % acid solution of a monoprotic strong acid must be mixed with a 20 % solution of the same acid to produce 800 mL of a 29.875 % acid solution ?

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Q. What quantity (in mL) of a $45\%$ acid solution of a monoprotic strong acid must be mixed with a $20\%$ solution of the same acid to produce $800\ mL$ of a $29.875\%$ acid solution ?

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Solution:

$\frac{V\times45}{100}+\frac{\left(800-V\right)20}{100}=\frac{800\times29.875}{100}$

$\frac{9V}{20}+160-\frac{V}{5}=239$

$\frac{5V}{20}=79 $

$\Rightarrow V=316$