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2011 Math Kangaroo

Problem 2

Problem 2 · 2011 Math Kangaroo Easy
Logic & Word Problems balance-scalesum-constraint
Figure for Math Kangaroo 2011 Problem 2
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Answer: C
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Hint 1 of 2
Add up the stones already on each pan.
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Hint 2 of 2
The new stone must make up the difference between the two sides.
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Approach: balance the two pans
  1. Left pan: 26 + 8 + 12 = 46 kg. Right pan so far: 20 + 17 = 37 kg.
  2. The added stone must make up the gap 46 − 37 = 9 kg, so the 9 kg stone is needed, answer C.
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