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2025 Math Kangaroo

Problem 8

Problem 8 · 2025 Math Kangaroo Medium
Arithmetic & Operations work-backward

A dog has 2 puppies that both weigh the same. Picture 1 shows that the dog and one puppy together weigh 14 kilograms. Picture 2 shows that the dog and both puppies together weigh 18 kilograms. How many kilograms does the big dog weigh?

Figure for Math Kangaroo 2025 Problem 8
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Answer: B — 10
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Hint 1 of 3
The two pictures are the same except one has one more puppy.
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Hint 2 of 3
The extra weight from picture 1 to picture 2 is just one puppy.
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Hint 3 of 3
Once you know how heavy one puppy is, take it away from the 14 kg picture to find the dog.
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Approach: the extra puppy tells you one puppy's weight, then find the dog
  1. Picture 1 is the dog and one puppy (14 kg). Picture 2 is the dog and both puppies (18 kg).
  2. Going from 14 kg to 18 kg adds one more puppy, so one puppy weighs 4 kg.
  3. Take that puppy away from picture 1: 14 take away 4 leaves 10 kg for the dog. The answer is B.
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