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
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...