AMC8 2024

AMC8 2024 · Q19

AMC8 2024 · Q19. It mainly tests Fractions, Ratios & proportions.

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?

Jordan 有 15 双运动鞋。五分之三的双是红色的，其余是白色的。三分之二是高帮的，其余是低帮的。红色高帮运动鞋占整个收藏的比例。这个比例的最小可能值是多少？

(A) 0 0

(B) \dfrac{1}{5} \dfrac{1}{5}

(D) \dfrac{1}{3} \dfrac{1}{3}

(E) \dfrac{2}{5} \dfrac{2}{5}

Answer

Correct choice: (C)

正确答案：（C）

Solution

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 $\boxed{\dfrac{4}{15}}.$

Jordan 有 $10$ 双高帮鞋，和 $6$ 双白鞋。我们希望尽可能多的高帮鞋是白色的，所以设 $6$ 双高帮鞋是白色的。然后，有 $10-6=4$ 双红色高帮鞋，所以答案是 $\boxed{\dfrac{4}{15}}$。

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