rodrigo paid $60 for a jacket. the jacket was...
rodrigo paid $60 for a jacket. the jacket was on sale for 25% off the original price. rodrigo used a coupon for another 15% off the sale price.\npart a\nto the nearest whole percentage, what was the overall percent discount that rodrigo received on the jacket? enter the answer in the box.\n\n%\n\npart b\nto the nearest dollar, what was the original price of the jacket? enter the answer in the box.\n\n$
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 $(1 - 0.15)\times0.75x = 0.85\times0.75x=0.6375x$.
## Step3: Find the overall discount percentage
The overall discount percentage $d$ is given by $d=(1 - 0.6375)\times100\%=36.25\%\approx36\%$.
## Step4: Find the original price
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