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1997 PMWC Problems/Problem I4

Revision as of 09:34, 15 April 2008 by 1=2 (talk | contribs) (→‎See also)

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
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