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MathNet 2019-part-06 — 184 problems (EN–VI) Question 101

Math Olympiad Vault · MathNet 2019-part-06 — 184 problems (EN–VI)

Question 101

Maja poured lemon juice into two identical glasses so that the first glass was filled to $\frac{1}{3}$ and the second to $\frac{2}{5}$. Then she kept adding water to both glasses until they were full. Finally, she emptied both glasses into a larger bowl, and the liquid did not overflow the rim of the bowl. What fraction of the liquid in the bowl is lemon juice?

(A) $\frac{1}{8}$
(B) $\frac{3}{16}$
(C) $\frac{11}{30}$
(D) $\frac{11}{19}$
(E) $\frac{11}{15}$