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**Solve for three variables with only two variables??**

Hi everyone .

There are 100 people and 100 bushels of grain. Men get 3 bushels, women get 2 bushels, and children get .5 bushels. How many men, women, and children are there and how many bushels do they each get. Find all possible solutions.

I found 2 solutions:

74 children 37 bushels

15 women 30 bushels

11 men 33 bushels

and

80 children 40 bushels

0 women 30 bushels

20 men 60 bushels

How can I find other solutions? I came up with two equations:

3m + 2w + .5c = 100

m + w + c = 100

but how do I solve for three variables with only two equations? Any help would be appreciated.

Thanks