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2025 Math Kangaroo

Problem 20

Problem 20 · 2025 Math Kangaroo Stretch
Arithmetic & Operations sum-constrainttotal-then-divide

Jana writes down how much her toys weigh: 22 g, 23 g, 25 g, 34 g and 36 g. She wants to share all her toys into two boxes so that both boxes weigh the same. Which two toys do not go in the same box?

Figure for Math Kangaroo 2025 Problem 20
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Answer: C
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Hint 1 of 2
Add all five weights and split into two equal boxes.
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Hint 2 of 2
Find which toys sum to half the total; the two that land in different boxes are your answer.
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Approach: split the weights into two equal halves
  1. The weights 22, 23, 25, 34, 36 add to 140 g, so each box holds 70 g.
  2. One box is 22 + 23 + 25 = 70 (balloon, car, boat); the other is 34 + 36 = 70 (helicopter, plane).
  3. So the balloon and the plane end up in different boxes.
  4. That pairing is option C.
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