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a boy purchased (bought) a party length sandwich 53 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 9 in. shorter than the longest piece. how long should the three pieces be?

Sagot :

taralynn
shortest piece as 9 inches, the piece is 5inches longer so14 inches. 53 inches - 14 inches = 23 inches.

Answer:

The length of:

Longest piece= 22 in.

Middle piece= 18 in.

and shortest piece= 13 in.

Step-by-step explanation:

It is given that:

A 53 in. sandwich is cut into three pieces so that the middle piece is 5 in. longer than the shortest piece and the shortest piece is 9 in. shorter than the longest piece.

Let the longest piece = x in.

This means that the length of the shortest piece is: (x-9) in.

and the middle piece is: (x-9)+5= (x-4) in.

Hence, we have:

[tex]x+(x-9)+(x-4)=53\\\\x+x-9+x-4=53\\\\x+x+x-9-4=53\\\\3x-13=53\\\\3x=53+13\\\\3x=66\\\\x=\dfrac{66}{3}\\\\x=22[/tex]

Hence, the length of the longest piece is: 22 in.

Length of the shortest piece is: 22-9=13 in.

and the length of the middle piece is: 22-4=18 in.

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