A farmer bought some chickens and cows from a local rancher. If a chicken costs 2 dollars and a cow costs 5 dollars, how much of each can he purchase if the total cost is 38 dollars and he purchases more than 2 chickens and more than 2 cows.
Is this solution unique?
-Having a tough time with this problem, my professor's hint to me was that this is a linear Diophantine problem. This really didn't help me, as of now I understand that this could potentially be solved via contradiction to disprove the solution's uniqueness. Other than that any help is greatly appreciated.