# CAT Practice : Averages, Ratios, Mixtures

When we mix two mixtures in a particular ratio, we get a third mixture. Given the third mixture how does one find the ratio in which they were mixed.

## Alligation

Q.36: In Kaziranga national park, the residents are either Hippopotamus or Peacocks. When the heads are counted, it comes out to be 96 and when the legs are counted it is 336 in number. Find the number of peacocks in the park.
1. 72
2. 24
3. 48
4. 80

Choice B. 24

## Detailed Solution

Number of residents = Number of heads = 96
Average number of legs = $\frac{336}{96} = \frac{7}{2}$
Therefore,

Therefore,
Hippopotamus : Peacock = $\frac{3}{2} : \frac{1}{2} = 3 : 1$
So, number of peacocks = $\frac{1}{4} * 96 = 24$

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