In a zoo, the ratio of deer to lions is 5:2. How many lions are there if there are 20 deer?

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answer is C.

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Detailed Solution

Concept: Every time there is an a:b ratio, it signifies that there is an unknowable common factor x that makes

possible, where

is the actual count of the first object and

is the count of the second object.
With the common factor

removed, the ratio

is the same as the ratio

, where the denominator represents the count of the second object and the numerator represents the actual count of the first object.
Trial and error is used to investigate each choice and compare it to the information provided regarding the number of deer.
Changing a specified ratio to an actual count,
5:2 is the current ratio.
Therefore, there is a factor

that exists such that

, where

is the number of deer and

is the number of lions. The issue is thus resolved by locating

.
Calculate

by equating the number of deer to the given value of 20.