Question

For their homecoming parade, the students of U-Math have created a colorful banner, 43 meters in length, that is made of two pieces of parachute material. The short price is 23 meters shorter than the long piece. Find the length of each piece. Length of the long piece= _____m

Answer 1

The length of the long piece of the homecoming parade banner is 33 meters, and the short piece is 10 meters, which add up to the total length of 43 meters.

Step-by-step explanation:

The students of U-Math have a homecoming parade banner that is 43 meters in total length. The banner consists of two pieces of parachute material, with the short piece being 23 meters shorter than the long piece. To find the length of each piece, we can set up the following equation:

Let L represent the length of the long piece. Thus, the short piece will be L - 23 meters. According to the problem, the total length of the banner is 43 meters. Therefore:

L + (L - 23) = 43

Combining like terms, we get:

2L - 23 = 43

Adding 23 to both sides of the equation:

2L = 66

Dividing both sides by 2:

L = 33

So, the length of the long piece is 33 meters, and the short piece is 43 - 33 = 10 meters.

Answer 2

The length of the long piece is 33 meter.

Step-by-step explanation:

Given : For their homecoming parade, the students of U-Math have created a colorful banner, 43 meters in length, that is made of two pieces of parachute material. The short price is 23 meters shorter than the long piece.

To find : The length of each piece ?

Solution :

Let the length of the longer piece be 'x'

and the length of the shorter piece be 'y'

Total length is 43 meters.

So,
`x+y=43` ...(1)

The short price is 23 meters shorter than the long piece.

i.e.
`x-y=23` ...(2)

Solving (1) and (2) by adding (1) and (2),

`x+y+x-y=43+23`

`2x=66`

`x=33`

Substitute in (1),

`33+y=43`

`y=10`

The length of the short piece is 10 meter.

The length of the long piece is 33 meter.