Please please help

Question

a battery with a discount price of $65 is on sale for 22% off the regular price. Find the regular price 

Answer 1

Let's find out what percent of the original price you are paying. We do this by subtracting the discount from 100%. Another way to think about this is; If it is discounted 22% "off", how much is it "on"?  100 - 22 = 78, so the 65 dollar price is actually 78 percent of the original total price. 

Let's use a variable, P for the original price.

.78(P) = 65 ; P = 83.33

 

Let's check to see if this makes sense:

 

(Original price x % discount) subtracted from original price = $65

        [83.33 x (.22)] = 18.33       83.33 - 18.33 = 65