Question

kate used a 30% off coupon to purchase a sweater. If she paid $33.60, what was the original price? please explain

Answer 1

original price = $48

In terms of percentages the original price is 100% and the purchase price is 70% ( that is 30% less than 100% = 70% )

divide the purchase price by 70 to find 1% and multiply by 100 to obtain original price

original price = $\frac{33.60}{70}$ × 100 = $48

Answer 2

So if the used a 30% off coupon she paid 70% of the original price so we can set up a proportion to solve
$\frac{0.7}{33.60} = \frac{1}{x}$
We can solve to find that x = 48 so the original price was $48