Question

$\frac{1}{3}$ and $\frac{1}{4}$ parts of a similar vessel contains fruit juice. I filled water in the remaining empty part of these vessels and poured the juice mixed with water of the two vessels into another big vessel. Work out the ratio of measurement of fruit to water in the new vessel.

Answer 1

Let volume of similar vessels be V litres

$\Rightarrow$ Total juice $=\frac{V}{3}+\frac{V}{4}=\frac{7V}{12}$;

Total water $=\frac{2}{3}V+\frac{3}{4}V$

$=\frac{17}{12}V\Rightarrow$ In new vessel, ratio of fruit juice and water $=\frac{\frac{7V}{12}}{\frac{17V}{12}}=\frac{7}{17}=7:17$