SOLUTION: Solve the problem by defining a variable, writing an equation, and solving the equation. Show all work: A 200-centimeter-long wire is cut into three pieces. The second piece is 3

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Solve the problem by defining a variable, writing an equation, and solving the equation. Show all work: A 200-centimeter-long wire is cut into three pieces. The second piece is 3       Log On


   

Question 946578: Solve the problem by defining a variable, writing an equation, and solving the equation. Show all work:
A 200-centimeter-long wire is cut into three pieces. The second piece is 3 times as long as the first. The third piece is 2 times as long as the second. How long is each piece?
I am not even sure where to start. I know that when adding the three pieces together it has to equal 200 centimeters but I do not know how to write the equation to even get started on solving the problem. Is there 3 different variables (one for each piece)? Do I use the same variables? I am lost! Any tips you can give me would be greatly appreciated. I can solve the equations I just don't know how to write them myself.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Name the variables : Three pieces A, B, and C.
A%2BB%2BC=200
B=3A
C=2B=2%283A%29=6A
Now you have three independent equations with three unknowns.
You can solve it.
A%2BB%2BC=200
Substitute,
A%2B3A%2B6A=200
Now solve for A.
Then go back and solve for B and C.
Repost if you get stuck and need more help.