Answer: the original price of the coat is $46
Explanation:
Let x represent the original price of the coat. The store has a 25 percent off sale on coats. The discount of 25% would be
25/100 × x = 0.25 × x = 0.25x. The new price of the coat would be the initial price of the coat - the discount. The new price of the coat is x - 0.25x = 0.75x
With this discount, the price of one coat is $ 34.50. Therefore
0.75x = 34.5
x = 34.5/0.75 = $46