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'Weekly Problem 35 - 2008' printed from http://nrich.maths.org/

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A child's box of bricks contains cubes, cones and spheres. Two cones and a sphere on one side of a pair of scales will just balance a cube on the other side;
scales
and a sphere and a cube together will just balance three cones.
scales
How many spheres will just balance a single cone?

 

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

 

 

This problem is taken from the UKMT Mathematical Challenges.

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