Respuesta :
d = sqrt f
t = cuberoot f (d = ducks, f = fish and t = turtles).
so we need a number f which is a whole number between 1 and 100 and is also a perfect square and a perfect cube. 64 would suit these conditions so we might have
64 fish , 8 ducks and 4 turtles.
t = cuberoot f (d = ducks, f = fish and t = turtles).
so we need a number f which is a whole number between 1 and 100 and is also a perfect square and a perfect cube. 64 would suit these conditions so we might have
64 fish , 8 ducks and 4 turtles.
Answer: Number of fish = 64,
Number of ducks = 8,
Number of turtles = 4
Step-by-step explanation:
Since, the number of fish is between 1 and 100,
Also,
[tex]\text{The number of duck}=\sqrt{\text{The number of fish}}[/tex]
And,
[tex]\text{The number of fish} =\sqrt[3]{\text{The number of fish}}[/tex]
Since, the number of ducks and turtle must be a whole number.
⇒ The number of fish must be a square root and a cube root of a whole number between 1 and 100.
The numbers that are cube roots of a whole number between 1 and 100 are,
8, 27, 64
But √8 ≠ Whole number and √27 ≠ whole number.
While, √64 = 8 = A whole number.
Hence, the number of fish must be 64.
⇒ The number of duck = √64 = 8
And, the number of turtle = ∛64 = 4
