A rope 25 feet long is cut into 3 pieces. The first piece is 2x feet long, the second piece is 5x feet long, and the third piece is 4 feet long.

Question

a. Write and solve an equation to find x.

b. Find the lengths of the first and second pieces.

Answer 1

2x++5x+4=25

7x=21

x=3

6

15

4

Answer 2

2x+5x + 4 = 25

7x = 21

x = 21/7 = 3 feet

2x=6 feet

5x = 15 feet