Question 270008: There was a farmer who was selected after a deal. A tax payer said return $100 for exactly 100 animals. He went to buy the animals. He was going to waste exactly $100 for exactly 100 animals. Sheep costs $.5, cows cost $1, and horse costs $10. Name three possibilities for this problem.
Answer by josmiceli(19441)   (Show Source):
You can put this solution on YOUR website! Which combination of  animals cost $100?
Let  = number of sheep he bought
Let  = number of cows he bought
Let  = number of horses he bought
 (in cents)
(1) 
He buys animals, so
(2) 
This is 3 unknowns and only 2 equations, so it's
not directly solvable, but a little work will give
some answers
--------------------------------------------------
If I subtract (2) from (1):
(1)
(2) 
According to this, he could buy  horses
and cows
Then, using (2),
(2)
---------------------------------------------------------------
he could buy horses, cows, and  sheep
---------------------------------------------------------------
check:
(1)
OK
---------------------------
Go back to
Suppose he bought  horses?
and
(2)
---------------------------------------------------------------
he could buy horses,  cows, and  sheep
---------------------------------------------------------------
check:
(1)
OK
----------------------------
Suppose he bought  horses?
and
(2)
---------------------------------------------------------------
he could buy horses,  cows, and  sheep
---------------------------------------------------------------
check:
(1)
OK
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