A wire is 200 inches long is cut into three pieces, two of equal length, each twice as long as the third. How long is the third piece?
2x + 2x + x = 200
5x = 200
Pre - Calculus, sure is.
To find the length of the third piece, let's break down the information provided:
- The wire is 200 inches long.
- Two of the pieces have equal length.
- Each of the two equal pieces is twice as long as the third piece.
Let's represent the length of the third piece as "x."
Since two of the pieces are equal, their combined length is 2x.
So, we have the equation:
2x + x = 200
To solve for x, we can combine like terms:
3x = 200
Divide both sides of the equation by 3:
x = 200/3
After performing the division, we find that x is approximately equal to 66.67 inches.
Therefore, the third piece of the wire is approximately 66.67 inches long.