Question 261671
We will call the length of the first piece x.

We can then set up this equation:

25 = (Length of Piece 1) + (Length of Piece 2) + (Length of Piece 3)
Piece 2 is 2 times the length of the first piece, and Piece 3 is 5 times the length plus 1 inch.
25 = x + 2x + (5x+1)
25 = x + 2x + 5x + 1
25 = 8x + 1

Minus 1 from both sides:
25 - 1 = 8x + 1- 1
24 = 8x

Divide both sides by 8:
{{{24/8 = 8x/8}}}
3=x
x=3