SOLUTION: A repairman purchased several furnace-blower motors for a total cost of $210. If his cost per motor has been $5 less, he could have purchased 1 additonal motor. How many motors did
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Question 409849: A repairman purchased several furnace-blower motors for a total cost of $210. If his cost per motor has been $5 less, he could have purchased 1 additonal motor. How many motors did he buy at regular rate?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
A repairman purchased several furnace-blower motors for a total cost of $210. If his cost per motor has been $5 less, he could have purchased 1 additonal motor. How many motors did he buy at regular rate?
..
let x=number of motors he bought at regular rate
regular rate-$5 = $5x saving per motor bought
(210/x)-5=5x
210-5x=5x^2
5x^2+5x-210=0
x^2+x-42=0
(x+7)(x-6)=0
x=-7 (reject)
x=6 (motors purchased)
ans:
He bought 6 motors at $35 each. If the price per motor had been reduced to $30 he would have saved $30 and would have been able to purchase 1 additional motor.
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