Brain Teasers
Bread and Butter
Trixie, Ursula, and Violet meet every morning to eat bread and butter for breakfast, but they always eat bread with the butter on only one side. One of them always eats bread with the butter on the same side. Here are some facts:
1. If Trixie eats bread with the butter side up, then Ursula and Violet eat bread with the butter on the same side.
2. If Ursula eats bread with the butter side up, then Trixie and Violet eat bread with the butter on different sides.
3. If Violet eats bread with the butter side down, then Trixie and Ursula eat bread with the butter on the same side.
Who eats bread with the butter on the same side every morning?
1. If Trixie eats bread with the butter side up, then Ursula and Violet eat bread with the butter on the same side.
2. If Ursula eats bread with the butter side up, then Trixie and Violet eat bread with the butter on different sides.
3. If Violet eats bread with the butter side down, then Trixie and Ursula eat bread with the butter on the same side.
Who eats bread with the butter on the same side every morning?
Hint
If two of the "facts" are "If Xavier eats bread, then Yolanda eats bread" and "Xavier eats bread", then it can be determined that Yolanda eats bread. If two of the "facts" are "If Xavier eats bread, then Yolanda eats bread" and "Yolanda eats bread", then it cannot be determined whether Xavier eats bread.Answer
Trixie always eats bread with the butter side down.From fact 1, we have six scenarios:
1. Trixie eats bread with the butter side up, Ursula with the butter side up, and Violet with the butter side up.
2. Trixie eats bread with the butter side up, Ursula with the butter side down, and Violet with the butter side down.
3. Trixie eats bread with the butter side down, Ursula with the butter side up, and Violet with the butter side up.
4. Trixie eats bread with the butter side down, Ursula with the butter side up, and Violet with the butter side down.
5. Trixie eats bread with the butter side down, Ursula with the butter side down, and Violet with the butter side up.
6. Trixie eats bread with the butter side down, Ursula with the butter side down, and Violet with the butter side down.
From fact 2, scenarios 1 and 4 do not work, and from fact 3, scenario 2 does not work. In all three remaining scenarios, Trixie eats bread with the butter side down.
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