Question

Rodrigo paid $60 for a jacket. The jacket was on sale for 25% off the original price. Rodrigo used a coupon for another 15% off the sale price.

Question 1
,begin emphasis,Part A,end emphasis,
To the nearest whole percentage, what was the overall percent discount that Rodrigo received on the jacket? Enter the answer in the box.

Question 1 Response area with 1 text input box
%
Question 2
,begin emphasis,Part B,end emphasis,
To the nearest dollar, what was the original price of the jacket? Enter the answer in the box.

Question 2 Response area with 1 text input box
$

Answer 1

To solve the problem, we need to calculate the original price of the jacket and the overall percent discount Rodrigo received.

### Part A: Overall Percent Discount

1. Let's denote the original price of the jacket as \( P \).
2. The jacket was on sale for 25% off, so the sale price is:
\[
\text{Sale Price} = P - (0.25 \times P) = 0.75P
\]
3. Rodrigo then used a coupon for an additional 15% off the sale price. The coupon discount can be calculated as:
\[
\text{Coupon Discount} = 0.15 \times (0.75P) = 0.1125P
\]
4. Therefore, the final price after the coupon is:
\[
\text{Final Price} = 0.75P - 0.1125P = 0.6375P
\]
5. We know that the final price Rodrigo paid is $60, so we can set up the equation:
\[
0.6375P = 60
\]
6. Solving for \( P \):
\[
P = \frac{60}{0.6375} \approx 94.12
\]

7. Now, we need to find the overall discount. The total discount from the original price is:
\[
\text{Total Discount} = P - \text{Final Price} = P - 60 \approx 94.12 - 60 = 34.12
\]
8. The overall percent discount is calculated as:
\[
\text{Overall Percent Discount} = \left(\frac{\text{Total Discount}}{P}\right) \times 100 \approx \left(\frac{34.12}{94.12}\right) \times 100 \approx 36.3\%
\]
Rounding to the nearest whole percentage gives us approximately 36%.

**Part A Response:** 36%

### Part B: Original Price of the Jacket

From our earlier calculations, we found:
\[
P \approx 94.12
\]
Rounding to the nearest dollar gives us \( P \approx 94 \).

**Part B Response:** $94

### Summary Responses:
- **Part A:** 36%
- **Part B:** $94