Answer:
The first piece is 6 inches, the second piece is 24 inches, and the third piece is 30 inches
Step-by-step explanation:
Since the second piece is 4 times longer than the first one, it will be represented by 4x.
The third piece is 5 times as long as the first one, so it will be represented by 5x.
Create an equation adding up the 3 x values up to 60:
x + 4x + 5x = 60
Add like terms and solve for x:
10x = 60
x = 6
So, the first piece is 6 inches.
Then, plug in 6 for x to find the lengths of the second and third pieces.
4x
4(6)
= 24
The second piece is 24 inches
5x
5(6)
= 30
The third piece is 30 inches
So, the first piece is 6 inches, the second piece is 24 inches, and the third piece is 30 inches
