Answer:
The largest number of relief supplies that can be put in each group is 36
Step-by-step explanation:
A relief worker needs to divide 900 bottles of water and 324 cans of food into groups that each contain the same number of items.
No. of bottles = 900
No. of cans = 324
What is the largest number of relief supplies that can be put in each group?
We are supposed to find HCF
3 | 900 2 | 324
3 | 300 2 | 162
5 | 100 3 | 81
5 | 20 3 | 27
2 | 4 3 | 9
2 | 2 3 | 3
| 1 | 1
[tex]900 = 3 \times 3 \times 5 \times 5 \times 2 \times 2[/tex]
[tex]324 = 2 \times 2 \times 3 \times 3 \times 3 [/tex]
HCF =[tex]2 \times 2 \times 3 \times 3 = 36[/tex]
Hence the largest number of relief supplies that can be put in each group is 36
