A 12" board is cut into 3 pieces so that the 2nd piece is twice as long as the first piece and the third piece is 3 times as long as the first piece. If x represents the length of the first piece, find the length of all 3 pieces

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- Sep 18th 2012, 07:57 PMmarukai47Another Crazy word Problem
A 12" board is cut into 3 pieces so that the 2nd piece is twice as long as the first piece and the third piece is 3 times as long as the first piece. If x represents the length of the first piece, find the length of all 3 pieces

- Sep 18th 2012, 08:00 PMMarkFLRe: Another Crazy word Problem
What is your equation in

*x*? - Sep 18th 2012, 08:01 PMmarukai47Re: Another Crazy word Problem
Sorry it's in x

- Sep 18th 2012, 08:20 PMMarkFLRe: Another Crazy word Problem
Yes, what equation have you written down?

- Sep 18th 2012, 08:40 PMmarukai47Re: Another Crazy word Problem
I haven't written an equation yet. I'm dyslexic so word problems are really hard for me

- Sep 18th 2012, 08:43 PMMarkFLRe: Another Crazy word Problem
What are the lengths of the 3 pieces of wood, in terms of

*x*? - Sep 18th 2012, 08:48 PMmarukai47Re: Another Crazy word Problem
12/3=4

- Sep 18th 2012, 09:00 PMDIOGYKRe: Another Crazy word Problem
- Sep 18th 2012, 09:05 PMmarukai47Re: Another Crazy word Problem
So confused.... Word problems suck

- Sep 18th 2012, 09:12 PMDIOGYKRe: Another Crazy word Problem
MarkFL2 started helping you since he hasn't been online for almost an hour, I hope it'll be okay if I try to help you too.

Since you know that sum of the lengths of all pieces is 12", and length of the second piece is 2x, and length of the third piece is 3x, x being the length of the first piece, you can write an equation $\displaystyle x+2x+3x=6x=12$, which means first piece + second piece + third piece is equal to total length (12"). Now you can try to solve this equation for x and you will get the length of the first piece and after that it will be easy to find the lengths of other pieces. I hope this helps. - Sep 18th 2012, 09:20 PMmarukai47Re: Another Crazy word Problem
solve(system(x+2*x+3*x=6*x),{x}) = true

- Sep 18th 2012, 09:37 PMDIOGYKRe: Another Crazy word Problem
- Sep 18th 2012, 09:41 PMmarukai47Re: Another Crazy word Problem
solve(system(x+2*x+3*x=12),{x}) x=12

using Texas Instruments CAS software - Sep 18th 2012, 09:47 PMmarukai47Re: Another Crazy word Problem
How do I find the lengths?

- Sep 18th 2012, 09:52 PMMarkFLRe: Another Crazy word Problem
$\displaystyle x+2x+3x=12$

Collect like terms on the left:

$\displaystyle 6x=12$

Now, what should you do next? And please don't use software, you really need to do this by hand to learn how to solve equations.(Nod)