Question

babies music stores offering a 20% discount on all CDs and DVDs meaning 80% of the price price remaines if the discount price is 16.80 what is the original price

Answer 1

Hello!

So if the discount is 20%, then 80% of the original price is left as the discounted price. (already stated in question)

So what you want to do, is take 80%, or 4/5, and take x as well. Set x equal to the original store price, and as we'll be taking 20% off, it'll become 4/5x, or 80% of x. Set 4/5x equal to 16.8.

Now, to solve, just divide both sides by 4/5 to isolate the x.
4/5x / (4/5) = 16.8 / (4/5)
I would set the divided by 4/5 part on the right hand side of the equation into multiplied by 5/4, as any division by a fraction can be set to multiplying by that fraction's reciprocal.

x = 16.8 • 5/4

Cancel out the denominator of 5/4 by dividing 16.8 by 4:
x = 4.2 • 5

Now multiply:

x = 21

You get your answer, of the original price being $21.

Answer 2

Let the original price be x . And the stores are offereing 20% discount. It means , we need to pay only 80 percent.

And it is given that the discount prices is 16.80. That is

0.8x = 16.80

Now we need to get rid of 0.8.

And for that, we divide both sides by0.8,

x =21

So the original price is $21 .