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.](https://www.tinkutara.com/question/Q163692.png)
$$ \\ $$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) 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](https://www.tinkutara.com/question/Q163703.png)
$$\frac{\mathrm{10}×\mathrm{20}+{x}×\mathrm{75}}{\mathrm{10}+{x}}=\mathrm{45}\:\Rightarrow\:{x}\approx\mathrm{8}.\mathrm{33} \\ $$