Answered

Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Discover detailed solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

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.

We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.