Aboy purchased (bought) a party length sandwich 52 in. long he wants to cut into three pieces so that the middle piece is 5 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?

Longest piece is 21 inches, shorter piece is 13 inches, middle piece is 18.

Step-by-step explanation:

Let x be the longest piece,

∵ the shortest piece is 8 in. shorter than the longest piece,

⇒ Shorter piece ( in inches ) = x - 8 ,

Also, the middle piece is 5 in. longer than the shortest piece,

⇒ Middle piece ( in inches ) = (x - 8) + 5 = x - 3

So, the total length of the sandwich = x + x - 8 + x - 3 = 3x - 11

According to the question,

3x - 11 = 52

3x = 63

⇒ x = 21

Hence, the longest piece is 21 inches, shorter piece is 13 inches, middle piece is 18 inches.

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