We have been given that Micah is buying items for a birthday party. He wants to use the same amount of each item. We are asked to find the least number of packages of cups he needs to buy (6 cups in each bag and 8 plates in each bag).
To find the least number of packages of cups, we need to find least common multiple of 6 and 8.
Multiples of 6: 6, 12, 18, 24, 30,....
Multiples of 8: 8, 16, 24, 32, 40, 48,.....
We can see that least common multiple of 6 and 8 is 24.
Now we will divide 24 by 6 to find number of packages of cups that Micah needs to purchase.
[tex]\frac{24}{6}=4[/tex]
Therefore, Micah needs to buy 4 packages of cups at least.
