Final answer:
By solving the word problem, we find that Bo, Dan, and Charlie dropped a different number of marshmallows than the answer choices provided. Bo dropped 3, Dan dropped 28, and Charlie dropped 4, so none of the answer options is correct.
The right answer is Bo: 3, Dan: 12, Charlie: 20
Step-by-step explanation:
The question involves solving a word problem about the number of marshmallows dropped by Bo, Dan, and Charlie. Let's start by setting up equations based on the problem statement.
Let Bo's dropped marshmallows be represented by B, so B = 3.
Dan dropped four times as many as Bo and Charlie together, so we represent Dan's dropped marshmallows as D = 4(B + C).
The total dropped is 35, so we have B + D + C = 35.
By substituting Bo's value, we get 3 + 4(3 + C) + C = 35.
Let's simplify this equation: 3 + 12 + 4C + C = 35.
Combining like terms gives us 15 + 5C = 35.
Subtract 15 from both sides to isolate the C term: 5C = 20.
Divide both sides by 5 to find the value of C: C = 4.
Now we can find D by substituting C into the equation D = 4(B + C): D = 4(3 + 4) = 4(7) = 28.
Having solved the equations, we find that Bo dropped 3 marshmallows, Dan dropped 28, and Charlie dropped 4. So, none of the answer choices provided is correct.
The right answer is Bo: 3, Dan: 12, Charlie: 20