To solve this problem, let's start by assigning variables to represent the number of packages each person bought.
Let's say Belle bought "x" packages.
Then Ben bought twice as many, so Ben bought "2x" packages.
Micalla bought three times as many, so Micalla bought "3x" packages.
Now, we can form an equation based on the total number of packages they bought. The sum of their packages is given as 24:
x + 2x + 3x = 24
Combining like terms:
6x = 24
To find x, we divide both sides of the equation by 6:
x = 24 / 6
x = 4
So, Belle bought 4 packages (x = 4).
Ben bought twice as many, so Ben bought 2 * 4 = 8 packages.
Micalla bought three times as many, so Micalla bought 3 * 4 = 12 packages.
Therefore, Belle bought 4 packages, Ben bought 8 packages, and Micalla bought 12 packages.