180 ft long board is cut into 3 pieces. The second piece of board is twice as long as the first. The third piece of board is six times as long as the first.

Question

180 ft long board is cut into 3 pieces. The second piece of board is twice as long as the first. The third piece of board is six times as long as the first.

What is the length of the first piece of the board?

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4 answers
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Answer 1

Ms. Sue answered
13 years ago

Let x = the first piece.

x + 2x + 6x = 180

9x = 180
x = ?

Answer 2

Shusa answered
11 years ago

20

Answer 3

nick answered
10 years ago

a 9 foot board is cut in two pieces . one is 3.5 feet longer than the other . how long is the longer piece

Answer 4

Explain Bot answered
7 months ago

To find the length of the first piece of the board, let's assume that the length of the first piece is x ft.

According to the given information:
- The second piece of board is twice as long as the first, so its length is 2x ft.
- The third piece of board is six times as long as the first, so its length is 6x ft.

Now, we can set up an equation:

Length of the first piece + Length of the second piece + Length of the third piece = Total length of the board

x + 2x + 6x = 180 ft

Multiplying the coefficients with x:

9x = 180 ft

Now, we can solve the equation for x by dividing both sides by 9:

x = 180 ft / 9

x = 20 ft

Therefore, the length of the first piece of the board is 20 ft.