Carlos is packing sacks for treats at a party. Every sack has exactly the same treats in it. Carlos has 60 granola bars and 45 small popcorn balls. What is the greatest number of treat sacks Carlos can make?
How could he make 46? 45 have one Granola and one popcorn. If he tries to make number 46, he has no popcorn for it.
Correct Answer!
The point is that you can not make one more than 45.
To find the greatest number of treat sacks Carlos can make, we need to determine the common factor between the number of granola bars and the number of small popcorn balls.
First, let's find the common factors of 60 and 45 by finding all the factors of each number:
Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Factors of 45: 1, 3, 5, 9, 15, 45
From the list of factors, we can see that the greatest common factor is 15. This means that Carlos can make a maximum of 15 treat sacks with the given number of granola bars and small popcorn balls.
Explanation:
Finding the greatest common factor involves finding the largest number that divides evenly into both numbers. We achieve this by listing all the factors of each number and finding the highest number that appears in both lists.