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

So if the used a 30% off coupon she paid 70% of the original price so we can set up a proportion to solve

`(0.7)/(33.60) = (1)/(x)`
We can solve to find that x = 48 so the original price was $48

Answer 2

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 =
`(33.60)/(70)` × 100 = $48