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 x = the number of packages that Belle bought.
x + 2x + 3x = 24
6x = 24
x = 4
Bella bought 4 packages.
I'm sure you can figure out how many the others bought.
belle got 4. ben got 8. micalla got 12
I really need help on my homework :(
To find the number of packages each person bought, we need to work through the information given step by step.
Let's start by assigning variables to the number of packages Belle, Ben, and Micalla bought. We'll use "B" for Belle, "BE" for Ben, and "M" for Micalla.
Based on the information given, we know that Belle bought "B" packages, Ben bought twice as many (2 * B = BE) packages, and Micalla bought three times as many (3 * B = M) packages.
Now we can set up an equation to represent the total number of packages purchased: B + BE + M = 24.
Since we know that Ben bought twice as many packages as Belle (BE = 2B), we can substitute 2B for BE in the equation: B + 2B + M = 24.
Similarly, since Micalla bought three times as many packages as Belle (M = 3B), we can substitute 3B for M in the equation: B + 2B + 3B = 24.
Combining like terms, we can simplify the equation to: 6B = 24.
To solve for B (the number of packages Belle bought), divide both sides of the equation by 6: B = 24 / 6 = 4.
So Belle bought 4 packages of beads.
To find out how many packages Ben and Micalla bought, we can substitute the value of B into the equations we established earlier.
Ben bought twice as many packages as Belle, so Ben bought 2 * 4 = 8 packages of beads.
Micalla bought three times as many packages as Belle, so Micalla bought 3 * 4 = 12 packages of beads.
Therefore, Belle bought 4 packages, Ben bought 8 packages, and Micalla bought 12 packages.