Posted by **Celina** on Friday, November 14, 2008 at 5:49pm.

Here's another problem I'm having a little trouble with:

A piece of string is 40 cm long. It is cut into three pieces. The longest piece is 3 times as long as the middle-sized piece, and the shortest piece is 23 cm shorter than the longest piece. Find the lengths of the three pieces.

What could be an equation I could write?

Thank you so much!

- Algebra -
**Damon**, Friday, November 14, 2008 at 6:31pm
call the middle size m

then the long piece is 3 m

and the short piece is 3m-23

so

(3m-23) + m + 3m = 40

7 m -23 = 40

solve for m

- Algebra -
**Reiny**, Friday, November 14, 2008 at 6:33pm
How about:

let the shortest piece be x cm

<the shortest piece is 23 cm shorter than the longest piece> or

the longest piece is 23 more than the shortest piece,

so longest = x+23

<The longest piece is 3 times as long as the middle-sized piece> or

the middle piece is 1/3 of the longest piece,

so middle piece = 1/3(x+23)

then x + (x+23) + 1/3(x+23) = 40

(I get x=4, for the shortest piece of 4 cm)

- Algebra -
**Celina**, Friday, November 14, 2008 at 6:36pm
Thanks!

- Algebra -
**Rachael**, Sunday, November 30, 2008 at 3:36pm
whats the answer?

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