For their homecoming parade, the students of U-Math have created a colorful banner, 44 meters in length, that is made of two pieces of parachute material. The short piece is 20 meters shorter than the long piece. Find the length of each piece.
x + x-20 = 44
Long piece = X meters.
Short piece = x-20 meters.
x + (x-20) = 44.
X =
x-20 =
To find the length of each piece, we can set up an equation based on the given information.
Let's assume that the length of the long piece of parachute material is 'x' meters.
The short piece is 20 meters shorter than the long piece. So, the length of the short piece is (x - 20) meters.
The total length of the banner is 44 meters, which is the sum of the lengths of the long and short pieces.
Therefore, we have the equation:
x + (x - 20) = 44
Simplifying the equation, we have:
2x - 20 = 44
Adding 20 to both sides of the equation:
2x = 44 + 20
2x = 64
Dividing both sides by 2:
x = 32
So, the length of the long piece is 32 meters.
Substituting the value of x into the expression for the short piece, we have:
Short piece = (x - 20) = (32 - 20) = 12
Therefore, the length of the short piece is 12 meters.
Hence, the long piece of parachute material is 32 meters long, while the short piece is 12 meters long.