SOLUTION: Two cubes and one bean 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 sol

Question 955948: Two cubes and one bean 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.

RELATED QUESTIONS
Two cubes and one ean are balanced by eight by toothpicks. One cube is balanced by... (answered by macston)

I am having a terrible time trying to solve this question, please help. Jelly bean Jar... (answered by solver91311)

1. Model the following sequence of toothpick figures, Dashes and Stars, with toothpicks... (answered by richwmiller)

Model the following sequence of toothpick figures, Rectangles with Pluses, with... (answered by richwmiller)

A solid rectangular prism with sides of 8cm by 12cm by 16cm is painted brown and then cut (answered by ikleyn)

A solid rectangular prism with sides of 8 cm by 12 cm by 16 cm is painted brown and then... (answered by ikleyn)

There are two types of coffee bean used to make a blend of coffee. If Bean A costs $0.80... (answered by josgarithmetic)

The volumes of two cubes differ by 259 cu meters. If the edges of one cube are each 4... (answered by checkley77,ankor@dixie-net.com)

Please help me solve this: Caitlin invested money in two mutual funds, a stock and... (answered by TimothyLamb,MathTherapy)