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. Also, each group must contain the same type of item (bottled water or canned food). What is the largest number of relief supplies that can be put in each group?
Accepted Solution
A:
Answer:The largest number of relief supplies that can be put in each group is 36Step-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 = 324What is the largest number of relief supplies that can be put in each group?We are supposed to find HCF 3 | 900 2 | 3243 | 300 2 | 1625 | 100 3 | 815 | 20 3 | 272 | 4 3 | 92 | 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