SOLUTION: A retailer planned to buy some computers form a wholesaler for a total of ksh 1,800,000, before the retailer could buy the computers the price per unit was reduced by ksh.4000. thi

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: A retailer planned to buy some computers form a wholesaler for a total of ksh 1,800,000, before the retailer could buy the computers the price per unit was reduced by ksh.4000. thi      Log On


   



Question 1138859: A retailer planned to buy some computers form a wholesaler for a total of ksh 1,800,000, before the retailer could buy the computers the price per unit was reduced by ksh.4000. this reduction in price enabled the retailer to buy 5 more computers using the same amount of money as originally planned. Determine the number of computers the retailer bought.
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
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Let n be the number of computers the retailer bought (the value under the question).


The price for each single computer then was  1800000%2Fn.


The planned price (before reducing) was  1800000%2F%28n-5%29.


The difference in prices was 4000:


    1800000%2F%28n-5%29 - 1800000%2Fn = 4000.


To solve this equation and to find "n", first cancel the factor "1000" in both sides; then multiply both sides by n*(n-5).


    1800%2F%28n-5%29 - 1800%2Fn = 4

     1800*n - 1800*(n-5) = 4n*(x-5)

     1800x + 1800n + 9000 = 4n^2 - 20n

      4n^2 - 20n + 9000 = 0

      n^2  -  5n + 2250 = 0

      (n+45)*(n-50) = 0


The two roots are n= -45  and  n= 50,  but only positive value x= 50 is a meaningful solution.


ANSWER.  The retailer bought 50 computers.

Solved.

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