<PRE><B>Question 955948</B>
C=cube; B=bean; T=toothpick
1C=1B+1T Multiply each side by 2.
2C=2B+2T
2C+1B=8T Subtract two equations.
-1B=2B-6T Subtract 2B from each side
-3B=-6T Divide each side by -3
B=2T 1 bean is balanced by 2 toothpicks 
Cube balanced by 1 bean and 1 toothpick, 1 bean=2 toothpicks so:
1 cube is balanced by 3 toothpicks.
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