Question 1140675
a farmer sells sheep at $75 a head. the sheep cost $x each. the farmer finds she has made x% profit on the sale of the sheep. find x

I know the answer is 50 but i can't figure it out how they manage to find that number
<pre>Purchase price, per sheep: x
Profit on each sheep: 50%, or .5
Therefore, selling price = 1.5x
Since selling price of each sheep is also $75, we get: 1.5x = 75
{{{highlight_green(matrix(1,5, x, "=", 75/1.5, "=", 50))}}}
It therefore can be said that each sheep cost $50, and she also made a 50% profit on the sale of each sheep.