SOLUTION: Tobi bought 100 oranges at the rate of x oranges for #4 and sold them at the rate of 4 oranges for #x there by making a profit of #45. Find the value of x

Question 1136863: Tobi bought 100 oranges at the rate of x oranges for #4 and sold them at the rate of 4 oranges for #x there by making a profit of #45. Find the value of x
Answer by ikleyn(52788) (Show Source): You can put this solution on YOUR website!
.


The translation of the condition is this equation


     -  = 45


Multiply both sides by 4x.


    100x^2 - 4*4*100 = 4*45*x


    100x^2 - 180 x - 1600 = 0

    10x^2 - 18x - 160 = 0

     =  = .


Onlu\y positive root is meaningful  x =  = 5.     ANSWER


ANSWER.  x = 5.

Solved.

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