Answer:
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, [tex]x+y=43[/tex] ...(1)
The short price is 23 meters shorter than the long piece.
i.e. [tex]x-y=23[/tex] ...(2)
Solving (1) and (2) by adding (1) and (2),
[tex]x+y+x-y=43+23[/tex]
[tex]2x=66[/tex]
[tex]x=33[/tex]
Substitute in (1),
[tex]33+y=43[/tex]
[tex]y=10[/tex]
The length of the short piece is 10 meter.
The length of the long piece is 33 meter.
