Question

In a zoo, \(40\%\) of the total animals are reptiles. Out of the remaining, \(60\%\) are mammals. If there are 456 animals that are neither reptiles nor mammals, then how many animals are there in the zoo?

• A. 1,900
• B. 1,800
• C. 2,100
• D. 2,300

Answer 1

The Correct Option is A

Total Number of Animals in the Zoo Calculation 

- Let the total number of animals in the zoo be denoted as x.

- 40% of x are reptiles:

\[ 0.4x \text{ are reptiles} \]

- The remaining animals are:

\[ x - 0.4x = 0.6x \]

- 60% of these remaining animals are mammals:

\[ 0.6 \times 0.6x = 0.36x \text{ are mammals} \]

- The remaining animals, which are neither reptiles nor mammals, are given as 456.

- Therefore, the number of these animals is:

\[ x - 0.4x - 0.36x = 0.24x \]

- Since this value is equal to 456:

\[ 0.24x = 456 \]

- Solving for x:

\[ x = \frac{456}{0.24} = 1,900 \]

Thus, the total number of animals in the zoo is 1,900.

Conclusion: The correct answer is 1,900.