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

Question

3 years ago

10

5 in. longer than the shortest piece and the shortest piece is 9 in. shorter than the longest piece. How long should the three pieces be?

1 answer:

erik [133] · Answer 1 · 2022-07-30T07:30:56+03:00

The shortest piece is 14 inches, middle piece is 19 inches and longest piece is 23 inches long.

Step-by-step explanation:

Let,

x be the shortest piece.

Therefore,

Middle piece = x+5

As shortest piece is 9 in shorter than longer piece;

Shortest piece = longest piece - 9

x = longest piece - 9

longest piece = x+9

Length of sandwich = 56 in

According to given statement;

Shortest piece + middle piece + longest piece = 56

$x+(x+5)+(x+9)=56\\x+x+5+x+9=56\\3x+14=56\\3x=56-14\\3x=42$

Dividing both sides by 3;

$\frac{3x}{3}=\frac{42}{3}\\x=14$

Shortest piece = 14 in

Middle piece = 14+5 = 19 in

Longest piece = 14+9 = 23 in

The shortest piece is 14 inches, middle piece is 19 inches and longest piece is 23 inches long.

Keywords: Addition, linear equation

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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