Difference between revisions of "2011 AMC 12A Problems/Problem 3"

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== Solution ==
 
== Solution ==
To find how many small bottles we need, we can simply divide <math>500</math> by <math>35</math>. This simplifies to <math>\frac{100}{7}=14+\frac{2}{7}</math>. Since the answer must be an integer greater than <math>14</math>, we have to round up to <math>15</math> bottles=<math>\boxed{\textbf{E}}</math>
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To find how many small bottles we need, we can simply divide <math>500</math> by <math>35</math>. This simplifies to <math>\frac{100}{7}=14+\frac{2}{7}</math>. Since the answer must be an integer greater than <math>14</math>, we have to round up to <math>15</math> bottles, or <math>\boxed{\textbf{E}}</math>
  
 
== See also ==
 
== See also ==
 
{{AMC12 box|year=2011|num-b=2|num-a=4|ab=A}}
 
{{AMC12 box|year=2011|num-b=2|num-a=4|ab=A}}

Revision as of 19:03, 10 February 2011

Problem

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?

$\textbf{(A)}\ 11 \qquad \textbf{(B)}\ 12 \qquad \textbf{(C)}\ 13 \qquad \textbf{(D)}\ 14 \qquad \textbf{(E)}\ 15$

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 $\boxed{\textbf{E}}$

See also

2011 AMC 12A (ProblemsAnswer KeyResources)
Preceded by
Problem 2
Followed by
Problem 4
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
All AMC 12 Problems and Solutions