# Algebra

posted by .

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 -

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 -

Thank you very much!

• Algebra -

7m - 23 =40
+ 23 +23
then 7m=63
then you divide 63 by 7 it equal 9
so the ans. is m=9 :)

• Algebra -

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 -

Thanks!

• Algebra -

## Similar Questions

1. ### Algebra

A ribbon 106 inches long is cut into three pieces. The middle-sized piece is 4 inches longern than twice the shortest piece. the longest piece is 3 times as long as the shortest piece. how long is the shortest piece?
2. ### algebra

Three pieces of wood are needed for project. They are to be cut from a 90cm long piece of wood. The longest piece is to be 3 times as long as the middle sized piece and the shortest piece is to be 10 cm shorter than the middle sized …
3. ### math

Three pieces of wood are needed for a project. They are to be cut from a 90-cm-long piece of wood. The longest piece is to be 3 times as long as the middle-sized piece and the shortest piece is to be 10 cm shorter than the middle-sized …
4. ### Math

Three pieces of wood are needed for a project. They are to be cut from a 90-cm-long piece of wood. The longest piece is to be 3 times as long as the middle-sized piece and the shortest piece is to be 10 cm shorter than the middle-sized …
5. ### algebra

a woodworking project calls for three pieces. the longest piece is twicw the length of the middle-sized piece, and the shortest is 10 inches shorther than the middle-sized piece. the board os 70 inches. how much must each peice be?
6. ### math

A pipe is 42 inches long. It is to be cut into three pieces such that the longest is four times as long as the shortest and the middle-size piece is six inches longer than the shortest. How long is the middle-sized piece?
7. ### Algebra

A rope 116 inches is cut into three pieces.The middle-sized piece is 10 inches shorter than twice the shortest piece.The longest piece is 5/3 as long as the shortest piece.What is the length of the shortest piece?
8. ### algebra

A 120-foot-long rope is cut into 3 pieces. The first piece of rope is twice as long as the second piece of rope. The third piece of rope is three times as long as the second piece of rope. What is the length of the longest piece of …
9. ### algebra

A 28​-inch board is to be cut into three pieces so that the second piece is twicetwice as long as the first piece and the third piece is 44 times as long as the first piece. If x represents the length of the first​ piece, …
10. ### Algebra

A 36-meter rope is divided into three pieces. One piece is twice as long as the shortest piece, and the third piece is 1 meter longer than four times the shortest piece. Find the length of the shortest piece.

More Similar Questions

Post a New Question