Small Medium
How to distribute 500 pounds of food grains to a group (ie.containing large,medium & small) of 100 families?
Large size families are eligible to get in multiples of 50 pounds each,
Medium size families are eligible to get in multiples of 10 pounds each &
Small size families are eligible to get in multiples of 1 pound each.
(all 3 types of families should receive some amount of food. Mixed group of families consist of large, small & medium sized families)
When three variables are involved three equations are necessary for finding solution.
With the given information only two equations can be formed.
If x=Lare size families
y=Medium size families
z=Small size families
x+y+z= 100
50x+10y+z=500
Therefore the question cannot be answered algebraically
Trial and error method can be followed but is difficult
Why Mixed group is mentioned in the question I think some thing is missing
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