Final answer:
Alice originally started with 8 papers on her paper route. Using fractional arithmetic, we deduce this by knowing she had 3 papers after dropping off 1/4 and then 1/2 of the remaining ones.
Step-by-step explanation:
The question is asking us to determine how many papers Alice originally had on her paper route, given that she drops off 1/4 of them at the first stop and then 1/2 of the papers that are left at the second stop, leading her to have 3 papers remaining. Let's denote the original number of papers as x. After the first stop, she would have 3/4x papers left. At the second stop, she drops off half of the remaining papers, so she would have (1/2)(3/4x) papers left, which equals to 3/8x.
We're told that after the second stop, she has 3 papers left. So:
3/8x = 3
To find x:
x = 3 / (3/8)
x = 3 * (8/3)
x = 8
Therefore, Alice started with 8 papers, which means the correct answer is Option B.