Question

She made 36 cupcakes and 48 cookies. What's the greatest number of containers she can pack them in and have the same amount in each container with no leftovers?

Answer 1

Answer:

12 containers.

Step-by-step explanation:

Given:

She made 36 cupcakes and 48 cookies.

Question asked:

What's the greatest number of containers she can pack them in and have the same amount in each container with no leftovers?

Solution:

Total number of cupcakes = 36

Total number of cookies = 48

As we have to calculate the greatest number of containers with same amount of cupcakes and cookies in each container, we will find the Highest Common Factor of 48 and 36.

Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36

Factors of 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Highest Common Factors = 12

$12\times3=36\\12\times4=48$

That means 12 containers (maximum containers) can be filled with 3 cupcakes and 4 cookies equally in each container.

Therefore, the greatest number of containers is 12.