Question

The circus returned home and the animal trainers friend asked how many lions were on the train. The trainer answer "7 times as many lions than other animals (not lions). Then the friend asked about the bears." there were a seventh as many bears as other animals", replied the trainer. Then the friend asked about the elephants. How should the trainer respond to the question?

Answer 1

Explanation:

Solution:-

- We will denote:

Number of Lions = x

Number of bears = y

Number of elephants = z

Any other animal = T

- Now we will mathematically each statement given by the trainer.

Statement 1:

"7 times as many lions than other animals (not lions)."

- There were 7 times as many lions than any other animals i.e ( bears and elephants). So we can express:

x = 7*( x + y + T) .... E 1

Statement 2:

"there were a seventh as many bears as other animals"

- There were 1/7 as many bears than any other animals i.e ( lions and elephants). So we can express:

y = (x+z+T) / 7 ... E2

- Now combine two decrypted mathematical expressions.

x + y + z = T

7T + T/7 + z = T