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Problem 279
Combinatorics Difficulty 2.3 Find the answer CEMC Pascal · Canada · 2021
The two equal-arm scales shown are balanced.
Which of the following has the same mass as
A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.
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Official solution
Because 2 circles balance 1 triangle and 1 triangle balances 3 squares, then 2 circles balance 3 squares.
Because 2 circles balance 3 squares, then 2+2=4 circles balance 3+3=6 squares, which is choice (E).
(Can you argue that none of the other choices is equivalent to 6 squares?)
Source: CEMC, University of Waterloo,
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