belle bought packages of beads for her project. ben bought twice as many packages as belle. micalla bought three times as many packages as belle. altogether, they bought 24 packages of beads. how many packages did each person buy?
Let b = Belle's purchase
b + 2b + 3b = 24
6b = 24
b = 4
I'm sure you can finish this problem.
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.