SOLUTION: Two cubes and one ean are balanced by eight by toothpicks.
One cube is balanced by one bean and one toothpick.
How many toothpicks will balance the cube? Explain how you solv
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Question 955947: Two cubes and one ean are balanced by eight by toothpicks.
One cube is balanced by one bean and one toothpick.
How many toothpicks will balance the cube? Explain how you solved the
problem.
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
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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