54.9k views
3 votes
A boy purchased (bought) a party-length

sandwich 56 in. long. He wants to cut it into three pieces so that the middle
piece is 6 in. longer than the shortest piece and the shortest piece is 8 in. shorter than the longest piece. How long
should the three pieces be?
The shortest piece has a length of blank in.

User Chrizzor
by
8.2k points

1 Answer

5 votes

Let the lengths of the pieces, in inches, be
x, x+6, x+8.

The lengths of these pieces add to
56 inches.


x+x+6+x+8=56 \\ \\ 3x+14=56 \\ \\ 3x=42 \\ \\ x=14

So, the lengths of the pieces are 14 in, 20 in, and 22 in.

User Letmecheck
by
8.9k points