Dominic bought a new alarm clock that was on sale for $18.75. if this price represents a 30% discount from the original price. what is the original price to the nearest cent?

So here you are trying to find out what times .30 (30%) subtracted the original price will give you 18.75. Because it is 30% discount you want to use 70% (.7) so that you can find the price before not the price after.

so .7(x) = 18.75

Which you then divide and then get 26.79 dollars.