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
