2024 AMC 8 Problems/Problem 19
Problem
Jordan owns 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?
(A) (B)
(C)
(D)
(E)
Solution
Jordan has high top sneakers, and
white sneakers. We would want as many white high-top sneakers as possible, so we set
high-top sneakers to be white. Then, we have
red high-top sneakers, so the answer is