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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-




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.
$$ \\ $$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.
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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