SOLUTION: at a sale price of the washing machine was reduced by 12% to $440.what was the original price of the washing machine?

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Question 809561: at a sale price of the washing machine was reduced by 12% to $440.what was the original price of the washing machine?
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
      %28matrix%282%2C1%2C%0D%0AREDUCED%2C+PRICE%29%29%22%22=%22%22%28matrix%282%2C1%2C%0D%0AORIGINAL%2C+PRICE%29%29%22%22-%22%22%28matrix%284%2C1%2C%0D%0A%2212%25%22%2COF%2CORIGINAL%2C+PRICE%29%29


      %28matrix%282%2C1%2C%0D%0AREDUCED%2C+PRICE%29%29%22%22=%22%22%28matrix%282%2C1%2C%0D%0AORIGINAL%2C+PRICE%29%29%22%22-%22%22%28matrix%284%2C1%2C%0D%0A0.12%2CTIMES%2CORIGINAL%2C+PRICE%29%29


      %28matrix%282%2C1%2C%0D%0AREDUCED%2C+PRICE%29%29%22%22=%22%22%28matrix%282%2C1%2C%0D%0AORIGINAL%2C+PRICE%29%29%22%22-%22%22%280.12%29%22%22%2A%22%22%28matrix%282%2C1%2C%0D%0AORIGINAL%2C+PRICE%29%29

Let X = the original price so
  
      %28matrix%282%2C1%2C%0D%0AREDUCED%2C+PRICE%29%29%22%22=%22%22%28matrix%282%2C1%2C%0D%0AORIGINAL%2C+PRICE%29%29%22%22-%22%22%280.12%29%22%22%2A%22%22%28matrix%282%2C1%2C%0D%0AORIGINAL%2C+PRICE%29%29

      ($440) = ($X) - (0.12)%22%22%2A%22%22($X)

         440 = X - 0.12X

Now think of X as 1X and write as 1.00X to make it easy to subtract:

         440 = 1.00X - 0.12X

Combine the like terms on the right, subtracting like this: 1.00X
                                                           -0.12X
                                                            0.88X

         440 = 0.88X

Divide both sides by 0.88

        440%2F0.88 = 0.88X%2F0.88

        500 = X

So the original price was $500.

Edwin