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?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
Jordan has pairs of red sneakers and pairs of white sneakers. Moreover, are high-top and are low-top.
If we want to minimize the number of red high-top sneakers, then we can set all white sneakers to be high-top, leaving red sneakers as high-top. Hence, the fraction of red high-top sneakers would be .
Thus, is the correct answer.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions