Q:

Max bought 2 deli sandwiches rolls measuring 18 inches and 30 inches. He wants them to be cut into equal sections that are as long as possible. Into what lengths should the rolls be cut? How many sections will their be in all?

Accepted Solution

A:
Answer:The answer to your question is length = 6 in, # of pieces = 8Step-by-step explanation:Data2 sandwiches one of 18 in and other of 30 incut into equal sectionsTo solve this problem, use the greatest common divisor, so find the prime factors of both numbers.                   18           30       2   Only 2 and three are common factors, then                     9           15        3                2 x 3 = 6                     3            5        3                      1            5        5                                    1The length of the sections will be 6 inches How many sections will be?   in the first 18/6 = 3 in the second 30/6 = 5                                                  total = 8