Question

Four equal jugs are filled with the mixture of spirit and water. The ratio of spirit to water in four jugs is 1:3, 3:5, 5:11 and 7:9. The mixture of the four jugs is emptied into a single vessel. What is the proportion of spirit to water in the vessel?

• A. 11:21
• B. 11:30
• C. 12:24
• D. 3:5

Answer 1

The correct option is A

11:21

Let x (in ml) be the volume of each jug.

$\begin{array}{ccccc}Jug& 1^{st}& 2^{nd}& 3^{rd}& 4^{th}\\ S:W& 1:3& 3:5& 5:11& 7:9\\ S& \frac{1}{4}x& \frac{3}{8}x& \frac{5}{16}x& \frac{7}{16}x\\ W& \frac{3}{4}x& \frac{5}{8}x& \frac{11}{16}x& \frac{9}{16}x\end{array}$
Required ratio = $\frac{\frac{1}{4}x+\frac{3}{8}x+\frac{5}{16}x+\frac{7}{16}x}{\frac{3}{4}x+\frac{5}{8}x+\frac{11}{16}x+\frac{9}{16}x}=\frac{\frac{22}{16}}{\frac{42}{16}}=\frac{22}{42}=\frac{11}{21}$