Problem 6 · 2014 Math Kangaroo
Easy
Logic & Word Problems
work-backward
Anita has built fewer sandcastles than Hans but more than Stefan. Fabian has built more sandcastles than Anita and more than Hans. Bruno has built more sandcastles than Hans but fewer than Fabian. Who has built the most sandcastles?
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Answer: E — Fabian
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Hint 1 of 3
Picture the children standing in a line, tallest pile of sandcastles at the top.
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Hint 2 of 3
Each sentence tells you who stands above whom, so place them one at a time.
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Hint 3 of 3
Look for the one child who never has anybody above them.
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Approach: stand the children in order, most sandcastles at the top
- Hans is above Anita, and Anita is above Stefan, so far Hans, then Anita, then Stefan.
- Fabian is above both Anita and Hans, so Fabian goes near the top.
- Bruno is above Hans but below Fabian, so the full line is Fabian, Bruno, Hans, Anita, Stefan.
- Nobody is above Fabian, so the most sandcastles belong to Fabian.
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