Difference between revisions of "1997 PMWC Problems/Problem I4"

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{{PMWC box|year=1997|num-b=I3|num-a=I5}}

Revision as of 10:34, 15 April 2008

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

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