Final answer:
To solve this problem, let's assign variables to each person's share and set up an equation representing their total shares. Then, we can solve the equation to find their individual shares. Maggie gets 6.5, Lisa gets 19.5, and Bart gets 39.
Step-by-step explanation:
To solve this problem, let's assign a variable to Maggie's share. Let's call Maggie's share x. According to the problem, Lisa gets 3 times as much as Maggie, so Lisa's share would be 3x. Bart gets twice as much as Lisa, so Bart's share would be 2(3x) = 6x.
We know that the sum of their shares should equal 65. So we have the equation x + 3x + 6x = 65.
Combining like terms, 10x = 65. Dividing both sides by 10, we find that x = 6.5. Therefore, Maggie gets 6.5, Lisa gets 3 times that, which is 19.5, and Bart gets twice that, which is 39.