Question

Sophie buys a couch for $864.00 after a 20% discount. What is the regular price?​

Answer 1

The regular price is $1,036.80.
You multiply 864.x0.20
Which equals 172.8 and you add that to 864 to get a total of 1,036.80.

Answer 2

$1080

Explanation:

If it was 20% off, that means it was 1/5 off because 20% as a fraction is 1/5. Next, if it was 1/5 off that means that $864 represents 4/5 of the price. You can think of it like an equation, where
`(4)/(5) x = 864`.

To solve this equation, you would first get rid of the fraction by multiplying both sides by 5:

`(4)/(5) x * 5 = 864 * 5 --> 4x = 4320`

Next divide both sides of the equation by 4 to solve for x:

`4x / 4 = 4320 / 4 --> x = 1080`

The regular price is $1080

You can also check this by doing 4/5 of 1080 = 864