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Question Number 163692 by mathlove last updated on 09/Jan/22

$$ \\ $$ A 10 liter bottle filled with a 20% alcohol solution. How much 75% alcohol solution should be added to obtain 45% alcohol solution? a) 1.62 lit b) 1.72 lit. c) 1.82 lit d) 1.92 lit.\\n

Answered by MJS_new last updated on 09/Jan/22

((10×20+x×75)/(10+x))=45 ⇒ x≈8.33

$$\frac{\mathrm{10}×\mathrm{20}+{x}×\mathrm{75}}{\mathrm{10}+{x}}=\mathrm{45}\:\Rightarrow\:{x}\approx\mathrm{8}.\mathrm{33} \\ $$

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