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

Algebra ->  Polynomials-and-rational-expressions -> 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      Log On


   



Question 1153396: 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(52775) About Me  (Show Source):
You can put this solution on YOUR website!
.

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


    450%2F%28x-5%29 - 450%2Fx = 1.     (1)


You can solve it using formal algebra, but the solution is clear even without it:


    x = 50 dollars.      ANSWER


CHECK.  Check validity of the equation (1):  450%2F%2850-5%29 - 450%2F50 = 10-9 = 1.   ! Correct !