A rabbit is packing lunches for his children. He has 90 carrots and 72 leaves of lettuce. If he is giving each bunny the same number of carrots and the same number of leaves of lettuce, how many baby bunnies must he have? He will have no extra vegetables after he packs the lunches.(1 point)

Responses

6
6

3
3

9
9

18

1 answer

To find the number of baby bunnies, we need to find the greatest common divisor of 90 and 72.

Prime factorize 90: 2 * 3^2 * 5 = 2^1 * 3^2 * 5^1
Prime factorize 72: 2^3 * 3^2

The common factors are 2^1 and 3^2.
The greatest common divisor is 2^1 * 3^2 = 6.

Therefore, the rabbit must have 6 baby bunnies.