Question

Instructions: Type the correct answer in each box. The number of ducks in a pond is equal to the square root of the number of fish, and the number of turtles is equal to the cube root of the number of fish. The number of fish in the pond is more than 1 but less than 100. There are no fractional or negative numbers of ducks, fish, or turtles. There are ___fish, ___ducks, and ___turtles in the pond.

Answer 1

The square numbers from 2 to 99 is:

4, 9, 16, 25, 36, 49, 64, 81

The cube numbers from 2 to 99 is:

8, 27, 64

Since the number of fish is both a square and cube number, it must be 64.

Therefore, the number of ducks is √64 = 8, and the number of turtles is 4.

There are 64 fish, 8 ducks, and 4 turtles in the pond.