Problem 12 · 2012 Math Kangaroo
Medium
Algebra & Patterns
substitution
In the school for animals there are 3 cats, 2 ducks, 2 sheep and some dogs. The teacher counted the legs of all the animals and got 44. How many dogs go to the school?
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Answer: B — 5
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Hint 1 of 2
Count the legs of the cats, ducks and sheep first.
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Hint 2 of 2
Subtract those legs from 44, then divide what is left by 4 for the dogs.
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Approach: subtract known legs, then divide
- 3 cats have 12 legs, 2 ducks have 4 legs, 2 sheep have 8 legs: 12 + 4 + 8 = 24 legs.
- The dogs account for 44 - 24 = 20 legs.
- Each dog has 4 legs, so there are 20 / 4 = 5 dogs.
- The answer is 5.
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