Answer :
shortest piece as 9 inches, the piece is 5inches longer so14 inches. 53 inches - 14 inches = 23 inches.
Answer:
The length of:
Longest piece= 22 in.
Middle piece= 18 in.
and shortest piece= 13 in.
Step-by-step explanation:
It is given that:
A 53 in. sandwich is cut into three pieces so that the middle piece is 5 in. longer than the shortest piece and the shortest piece is 9 in. shorter than the longest piece.
Let the longest piece = x in.
This means that the length of the shortest piece is: (x-9) in.
and the middle piece is: (x-9)+5= (x-4) in.
Hence, we have:
[tex]x+(x-9)+(x-4)=53\\\\x+x-9+x-4=53\\\\x+x+x-9-4=53\\\\3x-13=53\\\\3x=53+13\\\\3x=66\\\\x=\dfrac{66}{3}\\\\x=22[/tex]
Hence, the length of the longest piece is: 22 in.
Length of the shortest piece is: 22-9=13 in.
and the length of the middle piece is: 22-4=18 in.
