Get the information you need with the help of IDNLearn.com's expert community. Get the information you need from our community of experts who provide accurate and comprehensive answers to all your questions.

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 :

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.