Sally,Kelly,and Debbie are roommates deciding on how many cats they want to keep.Sally prefers three cats to two cats and two cats to one cat.Kelly prefers two cats to one cat and one cat to three cats.Debbie prefers one cat to two cats and two cats to three cats.If they decide by majority vote,they will get _____.

Question

Quizplus · Accepted Answer

By analyzing each roommate's preference, we can see that Sally's preferences can be ranked as follows: 3 > 2 > 1, Kelly's preferences can be ranked as 2 > 1 > 3, and Debbie's preferences can be ranked as 1 > 2 > 3.

When we compare these rankings, we see that the only number of cats that each roommate prefers over all other options is two cats. Sally prefers two cats to one cat or three cats, Kelly prefers two cats to one cat or three cats, and Debbie prefers two cats to one cat or three cats.

Therefore, two cats is the only option that satisfies each roommate's preferences to some extent, making it the best choice by majority vote.

Sally,Kelly,and Debbie Are Roommates Deciding on How Many Cats They