6 Kangaroos eat 6 bags of grass in 6 days. How many Kangaroos will eat 100 bags in 100 days?

100

1000

None of these

We are given:

We are asked:
How many kangaroos will eat 100 bags in 100 days?

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 \times 100 = 100/6 \approx 16.67 bags

Now, let N be the number of kangaroos needed to eat 100 bags in 100 days.

If each kangaroo eats $frac{100}{6}$ /6bags in 100 days, then:

N \times 100/6 = 100

frac{100N}{6} = 100 Rightarrow 100N = 600 Rightarrow N = 6