What was the original price if the sale was 30% of and the item was $11.20.

Question

We are doing ratios, ratio rates, proportions, and those types of things.

Answer 1

"What was the original price if the sale was 30% of and the item was $11.20"

 

The ratio Artulo O. gave is correct.  Here is how it is obtained:

 

      (sale price) = (original price) - (discount)

       $11.20    =     P   -   (0.30)P           [30% is 30/100 or 0.30 as needed by the problem)

       $11.20    =  (1 - 0.30)P                 [distributive property]

       $11.20 =   0.70P                         [Arturo starts here; now, you may also]

       $11.20/0.70 = P                         [divide both sides by 0.70]

          $16.00 = P

Answer 2

P = original price

 

30% off means the sale price is 0.70P

 

0.70P = $11.20

 

P = ($11.20 / 0.70) = $16