Zach's rope is 15 feet long. He cuts it into three pieces. 1st piece is 3.57 ft longer than the 2nd piece. 3rd piece is 2.97 feet longer than the 2nd piece. How long is third piece?
2nd Piece= x
1st Piece= x + 3.57
3rd Piece= x + 2.97
3x + 3.57 + 2.97 = 15
3x + 6.54 = 15
3x = 8.46
x = 2.82
X is the second piece but you need to solve for the 3rd piece
3rd Piece is 2.82 + 2.97
=5.79
Let's assume the second piece is represented by x feet.
According to the given information, the first piece is 3.57 feet longer than the second piece, so it can be represented as (x + 3.57) feet.
Similarly, the third piece is 2.97 feet longer than the second piece, so it can be represented as (x + 2.97) feet.
Since Zach's rope is 15 feet long and he cuts it into three pieces, we can write the equation:
x + (x + 3.57) + (x + 2.97) = 15
Simplifying this equation:
3x + 6.54 = 15
Subtracting 6.54 from both sides:
3x = 8.46
Dividing both sides by 3:
x = 2.82
Therefore, the second piece is 2.82 feet long.
To find the length of the third piece, we substitute the value of x into the equation:
x + 2.97 = 2.82 + 2.97
The third piece is equal to 5.79 feet long.
To find the length of the third piece, we first need to determine the length of the second piece.
Let's assume the length of the second piece is x feet.
According to the problem, the first piece is 3.57 feet longer than the second piece, so the length of the first piece is x + 3.57 feet.
Similarly, the third piece is 2.97 feet longer than the second piece, so the length of the third piece is x + 2.97 feet.
Now we can set up an equation to solve for the length of the second piece:
x + (x + 3.57) + (x + 2.97) = 15
By combining like terms, we get:
3x + 6.54 = 15
Subtracting 6.54 from both sides:
3x = 8.46
Dividing both sides by 3:
x = 2.82
Now we know that the second piece is 2.82 feet long.
To find the length of the third piece, we simply substitute the value of x into the expression for the length of the third piece:
Length of the third piece = x + 2.97
Length of the third piece = 2.82 + 2.97
Length of the third piece = 5.79 feet
Therefore, the third piece is 5.79 feet long.