Difference between revisions of "2024 AMC 8 Problems/Problem 19"
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− | ==Video Solution by Math-X (First fully understand the problem!!!)== | + | ==Video Solution 1 by Math-X (First fully understand the problem!!!)== |
https://www.youtube.com/watch?v=eYnLh_SGy7c | https://www.youtube.com/watch?v=eYnLh_SGy7c | ||
~Math-X | ~Math-X |
Revision as of 12:15, 26 January 2024
Contents
[hide]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
Solution 1
We first start by finding the amount of red and white sneakers. 3/5 * 15=9 red sneakers, so 6 are white sneakers. Then 2/3 * 15=10 are high top sneakers, so 5 are low top sneakers. Now think about 15 slots and the first 10 are labeled high top sneakers. if we insert the last 5 sneakers as red sneakers there are 4 leftover over red sneakers. Putting those four sneakers as high top sneakers we have are answer as C or
-Multpi12
Video Solution 1 by Math-X (First fully understand the problem!!!)
https://www.youtube.com/watch?v=eYnLh_SGy7c
~Math-X