this question has two parts. use the information to answer part a and part b. rodrigo paid $60 for a jacket…

this question has two parts. use the information to answer part a and part b. 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. part a to the nearest whole percentage, what was the overall percent discount that rodrigo received on the jacket? enter the answer in the box. % part b to the nearest dollar, what was the original price of the jacket? enter the answer in the box. $

this question has two parts. use the information to answer part a and part b. 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. part a to the nearest whole percentage, what was the overall percent discount that rodrigo received on the jacket? enter the answer in the box. % part b to the nearest dollar, what was the original price of the jacket? enter the answer in the box. $

Answer

Explanation:

Step1: Calculate the price after first - discount

Let the original price be $x$. After a 25% discount, the sale price is $(1 - 0.25)x=0.75x$.

Step2: Calculate the price after second - discount

After using a 15% off coupon on the sale price, the final price is $0.75x\times(1 - 0.15)=0.75x\times0.85 = 0.6375x$.

Step3: Calculate the overall discount percentage for Part A

The overall discount is $1-0.6375 = 0.3625$. As a percentage, it is $0.3625\times100%=36.25%\approx36%$.

Step4: Calculate the original price for Part B

We know the final price is $60$, and the final price is $0.6375x$. So, we set up the equation $0.6375x = 60$. Solving for $x$, we get $x=\frac{60}{0.6375}\approx94$.

Answer:

Part A: 36 Part B: 94