Answer:
$52
Step-by-step explanation:
Let x be the original price of the sweater before discount. The price after applying 30% discount is given by:
x - 0.3x = $36.40
Simplifying this equation we get:
0.7x = $36.40
Dividing both sides by 0.7, we get:
x = $52
Therefore, the original price of the sweater was $52.