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2016 Math Kangaroo

Problem 14

Problem 14 · 2016 Math Kangaroo Stretch
Logic & Word Problems careful-countingcasework
Figure for Math Kangaroo 2016 Problem 14
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Answer: E
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Hint 1 of 2
For each flower, read off its leaves and petals, then check both ladybird rules.
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Hint 2 of 2
A flower keeps a ladybird only if some ladybird matches both the wing-points and petal conditions; find the flower none can sit on.
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Approach: test each flower against the two ladybird conditions
  1. Condition 1 ties the difference of the two wings' points to the number of leaves; condition 2 ties one wing's points to the number of petals.
  2. Check each flower's leaf and petal counts against the five ladybirds.
  3. Exactly one flower fits no ladybird: flower E.
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