MathDB
Who created the shoe diagram what

Source: 2024 AMC 8 #19

October 11, 2024
2024 AMC 8AMC 8

Problem Statement

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?
[img width=50]https://wiki-images.artofproblemsolving.com//thumb/a/a2/2024_AMC_8_-19.png/1200px-2024_AMC_8_-19.png
<spanclass=latexbold>(A)</span>0<spanclass=latexbold>(B)</span>15<spanclass=latexbold>(C)</span>415<spanclass=latexbold>(D)</span>13<spanclass=latexbold>(E)</span>25<span class='latex-bold'>(A) </span> 0\qquad<span class='latex-bold'>(B) </span> \dfrac{1}{5} \qquad<span class='latex-bold'>(C) </span> \dfrac{4}{15} \qquad<span class='latex-bold'>(D) </span> \dfrac{1}{3} \qquad<span class='latex-bold'>(E) </span> \dfrac{2}{5}