Problem 7 · 2024 Math Kangaroo
Medium
Logic & Word Problems
careful-countingcomplementary-counting
Chen has these 5 baskets, with 4 toys in each (shown as A, B, C, D, E in the picture). Four of the baskets fall down and the toys lie mixed up on the floor. Which basket did he not drop?
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Answer: B — B
Show hints
Hint 1 of 3
Look at the floor pile and notice which kind of toy is the most common there.
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Hint 2 of 3
The basket Chen kept is the only one with none of a toy that the others all had.
Still stuck? Show hint 3 →
Hint 3 of 3
Count the ducks: every duck is on the floor, so the kept basket has no duck.
Show solution
Approach: find the toy that is missing from the basket that stayed up
- On the floor we can find ducks, frogs, ladybugs, and hippos all mixed together.
- Count the yellow ducks on the floor: there are 6, which is every duck from the five baskets.
- So the basket that did NOT fall has no duck in it — and the only basket with no duck is basket B.
Mark:
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