Question

a boy 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?

Answer 1

Given:
52 inches total
shortest piece is 8in shorter than longest.
middle has to be 5in longer than shortest.

We need to find how long the middle piece and shortest piece is, doing this we add them together, and then subtract them from the original to find the longest piece.
5 + 8
= 13

52 - 13
= 39

Hoped this helped a little! c:

- Kat

Answer 2

Answer:

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.