# SOLUTION: One hundred bushels of corn are to be divided among 100 men, women, and children. Men get 3 bushels each. Women get 2 bushels each. Children get 1/2 bushel each. How can the bu

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Misc -> SOLUTION: One hundred bushels of corn are to be divided among 100 men, women, and children. Men get 3 bushels each. Women get 2 bushels each. Children get 1/2 bushel each. How can the bu      Log On

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 Click here to see ALL problems on Miscellaneous Word Problems Question 37394: One hundred bushels of corn are to be divided among 100 men, women, and children. Men get 3 bushels each. Women get 2 bushels each. Children get 1/2 bushel each. How can the bushel be distributed? Is there more than on solution? I do not have a textbook for this class.Answer by fractalier(2101)   (Show Source): You can put this solution on YOUR website!We can summarize what we have in two equations: 3M + 2W + (1/2)C = 100 (this is the bushels equation) M + W + C = 100 (this is the number of people equation) Since we have three unknowns but just two equations, there should be a number of solutions avalable. One way to find some of them is to eliminate one variable by linear combination. I multiplied the top equation by two and subtracted the bottom equation... 6M + 4W + C = 200 M + W + C = 100 yielding 5M + 3W = 100 so that any combination that satisfies this equation solves the problem...for example, eight men and twenty women (leaving 72 children) works...or 14 men, 10 women and 76 children...