AMC12 2011 A

AMC12 2011 A · Q3

AMC12 2011 A · Q3. It mainly tests Fractions, Inequalities with integers (floor/ceiling basics).

A small bottle of shampoo can hold $35$ milliliters of shampoo, whereas a large bottle can hold $500$ milliliters of shampoo. Jasmine wants to buy the minimum number of small bottles necessary to completely fill a large bottle. How many bottles must she buy?

一小瓶洗发水可装$35$毫升洗发水，而一大瓶可装$500$毫升洗发水。Jasmine想购买最少数量的小瓶来把一大瓶完全装满。她必须买多少瓶？

(A) 11 11

(B) 12 12

(D) 14 14

(E) 15 15

Answer

Correct choice: (E)

正确答案：（E）

Solution

To find how many small bottles we need, we can simply divide $500$ by $35$. This simplifies to $\frac{100}{7}=14 \frac{2}{7}.$ Since the answer must be an integer greater than $14$, we have to round up to $15$ bottles, or $\boxed{\textbf{E}}$

要找需要多少小瓶，只需用$500$除以$35$。这可化简为$\frac{100}{7}=14 \frac{2}{7}$。由于答案必须是大于$14$的整数，所以需要向上取整为$15$瓶，即$\boxed{\textbf{E}}$。

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