jmc

Question

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?

Accepted Answer

Jordan has 10 high top sneakers, and 6 white sneakers. We would want as many white high-top sneakers as possible, so we set 6 high-top sneakers to be white. Then, we have 10-6=4 red high-top sneakers, so the answer is 415.