Explanation
We are given:
We are asked:
How many kangaroos will eat 100 bags in 100 days?
Step 1: Understand the rate
From the first statement:
6 kangaroos eat 6 bags in 6 days.
So, 1 kangaroo eats 1 bag in 6 days.
Therefore, in 1 day, 1 kangaroo eats 1/6 of a bag.
So, in 100 days, 1 kangaroo eats:
1/6×100=100/6≈16.67 bags
Now, let N be the number of kangaroos needed to eat 100 bags in 100 days.
If each kangaroo eats 100/6bags in 100 days, then:
N×100/6=100100/6N=100⇒100N=600⇒N=6