The length of shortest piece is 12 inches and length of middle piece is 18 inches and length of longest piece is 20 inches
Solution:
Let, "x" be the shortest piece
The middle piece is 6 in. longer than the shortest piece
Middle piece = 6 + x
The shortest piece is 8 in. shorter than the longest piece
Longest piece = 8 + x
A boy purchased a party-length sandwich 50 in. long
Therefore, total length = 50
Shortest piece + Middle piece + Longest piece = 50
x + 6 + x + 8 + x = 50
14 + 3x = 50
3x = 50 - 14
3x = 36
Divide both the sides by 3
x = 12
Therefore,
shortest piece = 12
middle piece = 6 + x = 6 + 12 = 18
longest piece = 8 + x = 8 + 12 = 20
Thus, length of shortest piece is 12 inches and length of middle piece is 18 inches and length of longest piece is 20 inches
