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

Algebra ->  Quadratic Equations and Parabolas -> 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      Log On


   



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) About Me  (Show Source):
You can put this solution on YOUR website!
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The translation of the condition is this equation


    x%2A%28100%2F4%29 - 4%2A%28100%2Fx%29 = 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

    x%5B1%2C2%5D = %2818+%2B-+sqrt%2818%5E2+%2B+4%2A10%2A160%29%29%2F%282%2A10%29 = %2818+%2B-+82%29%2F20.


Onlu\y positive root is meaningful  x = %2818+%2B+82%29%2F20 = 5.     ANSWER


ANSWER.  x = 5.

Solved.