A boy purchased a party-length sandwich 50 in. long. He wants to cut it into three pieces so that the middle piece is 6 in. long

Question

3 years ago

13

er than the shortest piece and the shortest piece is 8 in. shorter than the longest piece. How long should the three pieces be?

1 answer:

garri49 [273] · Answer 1 · 2022-03-14T16:03:47+03:00

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