Problem 24 · 2020 Math Kangaroo
Stretch
Spatial & Visual Reasoning
Logic & Word Problems
balance-scale
The first two scales shown are balanced. Which set of weights below would balance the third scale in the picture?
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Answer: D
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Hint 1 of 2
Read the first two balanced scales to express triangle and circle in terms of the square.
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Hint 2 of 2
Substitute into the third scale to see what balances the two squares shown.
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Approach: chain the balances to rewrite everything in one unit
- From scale 1, a square's weight relates to triangles and circles; scale 2 gives another relation.
- Combine them to express the needed weight in basic pieces.
- Matching the two squares on the third scale, the balancing set is option D.
Mark:
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