A new skateboard is on sale for 30% off. If the sale price is $119, find the original price of the skateboard.

$170

Step-by-step explanation:

The original price was 100% of the original price since 100% is the entire amount.

The discount on the original price was 30%. That means the discounted price was 100% minus 30% of the original price. That makes the discounted price 70% of the original price.

You are told that the discounted price is $119.

That means that 70% of the original price is $119.

70% as a decimal is 0.7

Let the original price be x.

70% of x is $119

0.7 * x = 119

0.7x = 119

Divide both sides by 0.7

x = 119/0.7

x = 170

The original price was $170