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1997 PMWC Problems/Problem I4

Revision as of 09:33, 15 April 2008 by 1=2 (talk | contribs) (New page: ==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 ==Solu...)
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Problem

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

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

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