AMC8 2024 Problem 19

Jordan owns 15 pairs of sneakers. Three fifths of the pairs are red and the rest are white. Two thirds of the pairs are high-top and the rest are low-top. The red high-top sneakers make up a fraction of the collection. What is the least possible value of this fraction?

Answer Choices
A. 0
B. \dfrac{1}{5}
C. \dfrac{4}{15}
D. \dfrac{1}{3}
E. \dfrac{2}{5}