Answer:
96 packages
Step-by-step explanation:
We solve for this question using Lowest Common Multiple (LCM) method
Step 1
We list multiples of each number until the first common multiple is found. This is referred to as the lowest common multiple.
From the question , we are told:
Plates are sold in packages of 24
Cups in packages of 32
Forks in packages of 48
Multiples of 24:
24, 48, 72, 96, 120, 144
Multiples of 32:
32, 64, 96, 128, 160
Multiples of 48:
48, 96, 144, 192
Therefore,
LCM(24, 32, 48) = 96
Hence, the least numbers of packages you should buy in order to have the same number of plates, cups, and forks is 96 packages
