A hoodie is on sale for $48. This sale price is 80% of the original price. What was the original price of the hoodie?

 60 dollars

Work Shown:

x = original price

y = sale price

The sale price is always smaller than the original price, so y < x.

The equation linking the two variables is

y = 0.8x

since 80% = 80/100 = 0.8

We know the sale price is $48, which means y = 48. This leads to:

y = 0.8x

0.8x = y

0.8x = 48

x = 48/0.8

x = 60

The original price was $60

Note: since the sale price is 80% of the original price, this must mean that we have a 20% discount (100% - 80% = 20%)