SOLUTION: A farmer said: “I only have sheeps, goats and horses. In fact, right now the number of animals minus the number of sheeps is 3, the total minus the number of goats is 4 and the tot

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Question 892096: A farmer said: “I only have sheeps, goats and horses. In fact, right now the number of animals minus the number of sheeps is 3, the total minus the number of goats is 4 and the total minus the number of horses is 5” .How many animals of each kind does the farmer have?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
a = total number of animals
A farmer said: “I only have sheep, goats and horses.
a = s + g + h
In fact, right now the number of animals minus the number of sheep is 3,
a - s = 3
we can rewrite this to:
s = a - 3
:
the total minus the number of goats is 4
a - g = 4
g = a - 4
and the total minus the number of horses is 5
a - h = 5
h = a - 5
:
s + g + h = a
Replace s, g, h
(a-3) + (a-4) + (a-5) = a
3a - 12 = a
3a - a = 12
2a = 12
a = 6 animals
:
You can use the above equations now to find the number of each animal