A rope is 15 feet long. Cut it into 3 pieces. The first piece was 3.57 feet longer than the second piece. The third piece was 2.97 feet longer than the second piece. How long was the third piece of rope?
If the 2nd piece is x, then
x+3.57 + x + x+2.97 = 15
(x+3.57)+x+(x+2.97)=15
3.57+2.97+3x=15
6.54+3x=15
3x=15-6.54
3x=8.46
x=8.46/3
x=2.82
2.82+3.57+2.82+2.97+2.82=15
6.39+2.82+5.79=15
I got 5.79
3.57+2.97
15-6.54
8.46\3
2.82+2.97
5.79!!
Hope it helps..
To find the length of the third piece of rope, we first need to find the length of the second piece. We are given that the first piece is 3.57 feet longer than the second piece. So, we can set up the equation:
length of first piece = length of second piece + 3.57 feet
Let's call the length of the second piece "x". Then, the length of the first piece is x + 3.57 feet.
Now, we know that the total length of the rope is 15 feet. So, we can set up the equation:
length of first piece + length of second piece + length of third piece = total length of the rope
(x + 3.57 feet) + x + (x + 2.97 feet) = 15 feet
Simplifying the equation:
3x + 6.54 feet = 15 feet
Next, let's isolate the variable:
3x = 15 feet - 6.54 feet
3x = 8.46 feet
Finally, divide both sides of the equation by 3 to solve for x:
x = 8.46 feet / 3
x ≈ 2.82 feet
So, the second piece of rope is approximately 2.82 feet long.
Now, we can find the length of the third piece by adding the length of the second piece to the additional 2.97 feet:
length of third piece = length of second piece + 2.97 feet
length of third piece ≈ 2.82 feet + 2.97 feet
length of third piece ≈ 5.79 feet
Therefore, the length of the third piece of rope is approximately 5.79 feet.