Problem 6 · 2010 Math Kangaroo
Easy
Logic & Word Problems
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Four friends each eat some ice cream. Mike eats more than Franz, Jaroslav eats more than Veit, and Jaroslav eats less than Franz. Put the friends in order by how much ice cream they ate, starting with the largest amount.
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Answer: C — Mike, Franz, Jaroslav, Veit
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Hint 1 of 2
Turn each clue into a simple "more than" comparison and chain them together.
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Hint 2 of 2
Jaroslav eats less than Franz but more than Veit, and Mike eats more than Franz.
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Approach: chain the inequalities into one order
- Mike > Franz, Jaroslav > Veit, and Jaroslav < Franz.
- Combine: Mike is biggest, then Franz, then Jaroslav, then Veit.
- Largest first: Mike, Franz, Jaroslav, Veit — option C.
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