Owen purchased 2\frac{1}{4} 4 1 pints of ice cream for a party. If each guest will be served exactly \frac{2}{3} 3 2 pint of ice cream, what is the greatest number of guests that Owen can serve?

54 boxes

Step-by-step explanation:

If the number of boxes in a warehouse can be divided evenly into 6 equal shipments by boat or 27 equal shipments by truck.

The smallest number of boxes that could be in the warehouse is the Lowest Common Multiple (LCM) of the two numbers.

To determine the Lowest common multiples, first express the numbers as a product of their prime factors

6=2X3=

27=3X3X3=

Then, take the highest power of each prime factor in the two numbers and multiply together

The lowest common multiple of 6 and 27 is therefore given as=2X=2X27=54

The smallest number of boxes that could be in the warehouse is 54.