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
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) (Show Source):
Let n be the number of computers the retailer bought (the value under the question).
The price for each single computer then was .
The planned price (before reducing) was .
The difference in prices was 4000:
- = 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).
- = 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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