Kate used 30% off coupon to purchase a sweater. If she saved $14.40, what was the original price of the sweater?

Original price = $20.57

Step-by-step explanation:

Let original price be X

X - discounted price = $14.4

discounted price = 30% of X

= 30/100 * X

=0.3X.

Therefore:

X - 0.3X = 14.4

0.7X = 14.4

X = 14.4 : 0.7 = $20.57

Therefore, Original price = $20.57

20.57