Calculate the Original Jacket Price After a 30% Increase to $52

To solve this problem, we'll follow these steps:

• Step 1: Identify the given information and convert the percentage to a decimal.

• Step 2: Apply the appropriate formula to represent the relationship between the original price and the increased price.

• Step 3: Solve for the original price.

Now, let's work through each step:
Step 1: We are given a final price of $52 and a percentage increase of 30$.
Step 2: The formula for the new price is given by:
$\text{New Price} = \text{Original Price} + (\text{Original Price} \times 0.30)$
This can be rearranged to:
$\text{New Price} = \text{Original Price} \times (1 + 0.30)$
Thus, $\text{New Price} = \text{Original Price} \times 1.30$.
Step 3: Substitute the given new price into the equation:
$52 = \text{Original Price} \times 1.30$
Divide both sides by 1.30 to solve for the Original Price:
$\text{Original Price} = \frac{52}{1.30} \approx 40$

Therefore, the original price of the jacket was \40 \).