2019 AMC 12B Problem 1


Alicia had two containers. The first was 56\tfrac{5}{6} full of water and the second was empty. She poured all the water from the first container into the second container, at which point the second container was 34\tfrac{3}{4} full of water. What is the ratio of the volume of the first container to the volume of the second container?

(A) 58(B) 45(C) 78(D) 910(E) 1112\textbf{(A) } \frac{5}{8} \qquad \textbf{(B) } \frac{4}{5} \qquad \textbf{(C) } \frac{7}{8} \qquad \textbf{(D) } \frac{9}{10} \qquad \textbf{(E) } \frac{11}{12}


Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.

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Category: AMC 12B
Points: 2
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