The largest number of relief supplies that can be put in each box is 48
Solution:
Given that,
A relief worker need to divide 240 bottles of water and 96 cans food into boxes
Each contain the same number of items each contain the same items
To find: largest number of relief supplies that can be put in each box
Thus, we have to find the greatest common factor of 240 and 96
The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 240 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Then the greatest common factor is 48
Thus, largest number of relief supplies that can be put in each box is 48