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1997 PMWC Problems/Problem I4

From AoPSWiki

Problem

Each of the three diagrams in the image show a balance of weights using different objects. How many squares will balance a circle?

Image:1997 PMWC individual 4.png

Solution

circle=triangle+2square

circle+square=triangle+star

triangle+2square+square=triangle+star

3square=star

triangle=3square+square=4square

circle=4square+2square=\boxed{6}square

See also

1997 PMWC (Problems)
Preceded by
Problem I3
Followed by
Problem I5
I: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
T: 1 2 3 4 5 6 7 8 9 10
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