leslie is in charge of packing snacks for her class. she has 30 cookies and 20 apples. she wants to put the same number of cookies and the same number of apples in each pack. what are the possible numbers of packs she can make? how many items are in each bag?
What is the GCF of 30 and 20?
Right.
30 / 10 = 3
20 / 10 = 2
To find the possible numbers of packs Leslie can make, we need to determine the common factors of 30 and 20. These common factors will represent the number of packs she can make with an equal number of cookies and apples.
First, let's find the factors of 30:
1, 2, 3, 5, 6, 10, 15, 30
Now, let's find the factors of 20:
1, 2, 4, 5, 10, 20
The common factors of 30 and 20 are 1, 2, 5, 10. Therefore, Leslie can make packs in any of these amounts: 1 pack, 2 packs, 5 packs, or 10 packs.
To determine how many items are in each pack, we need to divide the total number of cookies and apples by the number of packs. Since Leslie wants an equal number of cookies and apples in each pack, we will use the highest common factor, which is 10.
Number of items in each pack:
Total cookies = 30
Total apples = 20
Total items per pack = Total cookies + Total apples = 30 + 20 = 50
Since Leslie can make 10 packs, she would have 50 items in each pack.