Two pyramids and a sphere on one side of a pair of scales will just balance a cube on the other side.A sphere and a cube together will just balance three pyramids .How many spheres will just balance a single pyramid?
Answers
Given : Two pyramids and a sphere on one side of a pair of scales will just balance a cube on the other side.A sphere and a cube together will just balance three pyramids
To find : How many spheres will just balance a single pyramid
Solution:
Pyramids = P
Sphere = S
Cube = C
Two pyramids and a sphere on one side of a pair of scales will just balance a cube on the other side.
2P + S = C
A sphere and a cube together will just balance three pyramids
S + C = 3P
Substitute C = 2P + S
=> S + 2P + S = 3P
=> 2S = P
=> 2 Sphere = 1 Pyramid
2 spheres will just balance a single pyramid
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