an electrian cuts a 22 ft piece of wire into two pieces. one oiece is 18 ft longer than the shortor piece. how long are the pieces?
x + x+18 = 22
2x = 22-18
2x = 4
x = 2
one piece is 2 feet, the other is 20 feet.
Check is 20 greater than 2 by 18 ?
is the sum of 2 and 20 equal to 22 ?
iam trying to find how long the longer piece is and how long the shortor piece is?
To solve this problem, let's assign variables to the lengths of the two pieces of wire.
Let x represent the length of the shorter piece.
Since the longer piece is 18 feet longer than the shorter piece, we can represent the length of the longer piece as x + 18.
According to the problem, the total length of the wire is 22 feet. Therefore, we can write an equation:
x + (x + 18) = 22
Now, we can solve this equation to find the value of x.
Combining like terms, we have:
2x + 18 = 22
Subtracting 18 from both sides:
2x = 4
Dividing both sides by 2:
x = 2
Now we know that the shorter piece of wire is 2 feet in length.
To find the length of the longer piece, we can substitute x = 2 in the expression x + 18:
2 + 18 = 20
Therefore, the lengths of the two pieces of wire are 2 feet and 20 feet, respectively.