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

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;

and a sphere and a cube together will just balance three cones.

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.*

View the previous week's solution