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

(Problem)
(Solution)
Line 3: Line 3:
  
 
== Solution ==
 
== Solution ==
To find how many small bottles we need, we can simply divide 500 by 35. This simplifies to 100/7=14+2/7. Since the answer must be an integer greater than 14, we have to round up to 15 bottles=<math>\boxed{E}</math>
+
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}. 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}}$
  
 
== 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 01:30, 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?

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=$\boxed{\textbf{E}}$

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
Invalid username
Login to AoPS