Question

Question
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

Answer 1

To find out how many baby bunnies the rabbit must have, we need to determine the greatest common divisor (GCD) of the two quantities he has: 90 carrots and 72 leaves of lettuce. The GCD will tell us the largest number of baby bunnies such that each one receives the same number of carrots and leaves, with none left over.

First, we can find the GCD of 90 and 72.

**Factors of 90:**
- 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

**Factors of 72:**
- 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Now, we can identify the common factors:
- Common factors: 1, 2, 3, 6, 9, 18

The greatest of these is 18.

Thus, the GCD of 90 and 72 is 18, meaning the rabbit can pack lunches for **18 baby bunnies**.

So, the answer is **18**.