Question

A 30 foot board is cut into two pieces.how long is each piece if the second piece is 3 feet longer than twice the first piece

Answer 1

The first piece is 9 feet and the second piece is 21 feet. Explanation:

We know that a 30 foot board is cut into two pieces and that the second piece is three feet longer than twice the first piece.

Let the first piece = x

Let the second piece = 2x + 3

x + 2x + 3 = 30

Combine like terms

3x + 3 = 30

Subtract 3 from both sides

3x = 27

Divide 3 from both sides and we get:

x = 9

The first piece is 9 feet and now we need to find the second piece.

We can use the first piece to find the second piece.

Substitute 9 for x:

2(9) + 3

18 + 3 = 21

So the second piece is 21 feet.

21 + 9 = 30 feet

Answer 2

First piece would be 9 feet, second would be 21.