Question

You are creating identical picnic baskets using 30 sandwhiches and 42 cookies. What is the greatest number of baskets that you can fill using all of the food?

Answer 1

Here, you want to find the GCF, or the greatest common factor.

Simplest way to do this is by listing out all the factors.

30: 1, 2, 3, 5, 6, 10, 15, 30
42: 1, 2, 3, 6, 7, 14, 21, 42

So the greatest number that they share is 6.

So there would be 6 picnic baskets. (With 5 sandwiches and 7 cookies in each)

Answer 2

the answer would be 6 baskets with 7 cookies and 5 sandwiches in each basket