# Geometry

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On one side of a scale there are 6 coins, 3
weighing 2 grams each and 3 weighing x grams
each. The scale is balanced if 5 coins weighing
x grams each are placed on the other side of
the scale.

How much does each of the unknown coins
weigh?

• Geometry -

3 grams. If you make the equation

3(2)+3x=5x

then simplify to

6+3x=5x

Then move

6=5x-3x

then simplify

6=2x

6/2=3

x=3

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