SOLUTION: A repairman purchased several furnace-blower motors for a total cost of $450. If his cost per motor had been $5 less, he could have purchased 1 additional motor. How many motors di
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Question 1153390: A repairman purchased several furnace-blower motors for a total cost of $450. If his cost per motor had been $5 less, he could have purchased 1 additional motor. How many motors did he buy at the regular rate? Answer by ikleyn(52786) (Show Source):
Let x be the actual price per motor.
Then hypothetical price would be (x-5) dollars.
The equation to find x, from the condition, is
- = 1. (1)
You can solve it using formal algebra, but the solution is clear even without it:
x = 50 dollars. ANSWERCHECK. Check validity of the equation (1): - = 10-9 = 1. ! Correct !