Question

How do you come up with 0.80 Find the original price of a pair of shoes if the sale price is $ 44 $44 after a 20 % 20% discount.

Answer 1

STEP-BY-STEP SOLUTION:

Let original price = x

( 100% - 20% )x = $44
0.8x = 44
x = ( 44 / 80 ) × 100%
x = $55

Okay, so you are asking how they came up with 0.8 as shown in the 2nd line above which I will rewrite below:

0.8x = 44

The 0.8 refers to how much of x ( original price ) is left in the new price.

So, if:

x = 100%

Then:

New price = x - 20% = 100% - 20% = 80%

Now, to get 0.8 is as follows:

80% = 0.8