163k views
4 votes
On her paper route,alice drops off 1\4of the paperes at the first then dropps off 1\2of the paperes that are left at the second the second stop she has 3 paperes many paperes did she start with?

A) 6 papers
B) 8 papers
C) 12 papers
D) 24 papers

User Vibhu
by
7.4k points

1 Answer

5 votes

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.

User Bastian Hofmann
by
7.5k points