Question

Question #b2f8a

Answer 1

Original price was `$70`

Explanation:

You can write an equation and solve it.

Let the original price be `x`
If a discount of `40%` is given, it means a price of `60%` was paid.

`60% " of " x =42`

`60/100 xx x = 42`

`x = 42 xx100/60`

`x = $70`

Or you can write a proportion, comparing the dollars with the percents.

`x/42 = 100/60`

`x = (42xx100)/60`

`x = $70`

Answer 2

The sweater originally cost $70.

Explanation:

First, let `x=`the original price of the sweater.
Then, write a statement.
We have a sale which is 40% off. By multiplying the original price by 60%, we effectively subtract 40% from the price.
Therefore: 60% of the original price is $42.
`$42=x*60%`
Substitute .6 for 60%.
`$42=.6x`
Then divide both sides by .6.
`($42)/.6=(.6x)/.6`
Simplifying, we find:
`x=$42/.6=$70`
The original price of the sweater before the sale was $70.