DUKE WORKS IN A BAKERY HE MUST BOX 96 ROLLS AND 72 MUFFINS SO THAT ALL BOXES THE THE SAME NUMBER OF EACH WHAT IS THE LARGEST NUMBER OF BOXES HE CAN USE
What are the common multiples of 96 and 72?
6 is one of the common multiples
To determine the largest number of boxes Duke can use while ensuring that each box has the same number of rolls and muffins, we need to find the greatest common divisor (GCD) of 96 and 72.
To find the GCD, we can use a method called the Euclidean algorithm. The algorithm involves dividing the larger number by the smaller number repeatedly until the remainder becomes zero. The divisor at that point will be the GCD.
Here's how to find the GCD of 96 and 72:
Step 1: Divide 96 by 72:
96 ÷ 72 = 1 remainder 24
Step 2: Divide 72 by 24:
72 ÷ 24 = 3 remainder 0
Since the remainder has become zero, the GCD of 96 and 72 is 24.
Therefore, Duke can use a maximum of 24 boxes to box up the 96 rolls and 72 muffins. Each box will contain 4 rolls and 3 muffins.