# algebra

posted by .

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?

• algebra -

Let the middle-sized piece be x.
Then: 2x = longest piece and x-10 = shortest piece.

Therefore:

x + 2x + x - 10 = 70

Can you take it from here?
(Hint: solve for x, then be sure to list the length of the 3 pieces!)

• algebra -

SOLUTION: If the middle of three consecutive even integers is added to 100, the result is 42 more than the sum of the largest and twice the smallest. Find the smallest integer

• algebra -

20

## 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

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 …
3. ### 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 …
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. ### 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 …
6. ### Pre-Algebra

30 ft pipe is broken in three pieces. The shortest piece is 6ft. shorter than the longest piece. The medium length piece is 2/3 the length of the longest
7. ### 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?
8. ### 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?
9. ### math

a 132 inch lenght of ribbon is to be cut into 3 pieces the longest piece is to be 39 inches longer than the shortest piece and the third piece is to be half the length of the longest piece find the length of each piece of ribbon
10. ### maths

David cuts a 6 metre long pole into three different pieces. The largest piece is 40 cm longer than the middle piece. The middle piece is 70 cm longer than shortest piece. What is the size of the largest piece?

More Similar Questions