Tuesday, June 2, 2020

06/02/2020 (2019: AMC 8, Problem 8)

Q: Gilda has a bag of marbles. She gives 20% of them to her friend Pedro. Then Gilda gives 10% of what is left to another friend, Ebony. Finally, Gilda gives 25% of what is now left in the bag to her brother Jimmy. What percentage of her original bag of marbles does Gilda have left for herself?

$\textbf{(A) }20\qquad\textbf{(B) }33\frac{1}{3}\qquad\textbf{(C) }38\qquad\textbf{(D) }45\qquad\textbf{(E) }54$

Let's say that Gilda has 100 marbles to start off with. If she gives away 20% to Pedro, then she will have 80 (%) left. If she then gives 10% of what's left to Ebony, she'll have 72 (%) left. If she gives away 25% of the current amount she has, she'll have 54 marbles, or 54% left. That means the answer is E.

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