For their homecoming parade the students of U-Math have created a colorful banner, 53 meters in length, that is made of two pieces of parachute material. The short piece is 19 meters shorter then the long piece. Find the Length of each piece.

Length of the long piece =

Length of the short piece=

Can someone help?

Just like in one of your previous posts

let the shorter piece be x m
then the longer piece is 53-x

"The short piece is 19 meters shorter then the long piece"
or
the difference between the longer and the shorter is 19
--->
(53-x) - x = 19
53-x-x = 19
-2x = 19-53
-2x = -34
divide both sides by -2
-2x/-2 = -34/-2
x = 17

I defined x to be the short piece ---- 17
I defined 53-x to be the longer --- 53-17 = 36

check:
is 17+36 = 53 ? yes
is 36 greater than 17 by 19 ? yes

Sure! To find the length of each piece, we can set up a system of equations based on the given information.

Let x represent the length of the long piece.
Given that the short piece is 19 meters shorter than the long piece, the length of the short piece would be x - 19.

Now, we know that the total length of the banner is 53 meters, which is the sum of the lengths of the two pieces. So, we can set up the equation:

x + (x - 19) = 53

Simplifying this equation, we have:

2x - 19 = 53

Adding 19 to both sides, we get:

2x = 72

Dividing both sides by 2, we find:

x = 36

Now we know that the length of the long piece (x) is 36 meters, and the length of the short piece (x - 19) is:

36 - 19 = 17

So, the length of the long piece is 36 meters, and the length of the short piece is 17 meters.

To summarize:
Length of the long piece = 36 meters
Length of the short piece = 17 meters

Let's solve this problem step by step.

Step 1: Assign variables
Let's assign variables to the unknowns in the problem.
Let:
x = Length of the short piece
x + 19 = Length of the long piece

Step 2: Set up the equation
The problem states that the total length of the banner is 53 meters, so we can set up the equation:
x + (x + 19) = 53

Step 3: Solve the equation
Now we can solve the equation:
2x + 19 = 53
2x = 53 - 19
2x = 34
x = 34 / 2
x = 17

Step 4: Find the length of each piece
Using the value of x, we can find the length of each piece:
Length of the short piece = x = 17 meters
Length of the long piece = x + 19 = 17 + 19 = 36 meters

Therefore, the length of the long piece is 36 meters and the length of the short piece is 17 meters.