SOLUTION: 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 i
Question 1140675: a farmer sells sheep at $75 a head. the sheep cost $x each. the farmer finds she has made x% profit on the sale of the sheep. find x
I know the answer is 50 but i can't figure it out how they manage to find that number Found 2 solutions by ikleyn, MathTherapy:Answer by ikleyn(52777) (Show Source):
The equation to this problem is
x*(1 + x/100) = 75,
where x is the cost for the farmer to buy the sheep some-when earlier.
The equation says that the farmer has the profit of x percents by selling for 75$.
To solve the equation, multiply both sides by 100. you will get
x*(100+x) = 7500
x^2 + 100x - 7500 = 0
(x + 150)*(x - 50) = 0.
Of the twoo roots, only positive x= 50 makes sense as the solution to the problem.
ANSWER. x = 50 dollars.
You can put this solution on YOUR website! 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
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
It therefore can be said that each sheep cost $50, and she also made a 50% profit on the sale of each sheep.
