2011 AMC 12A Problems/Problem 3: Difference between revisions
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== Problem == | == Problem == | ||
A small bottle of shampoo can hold <math>35</math> milliliters of shampoo, whereas a large bottle can hold <math>500</math> 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? | A small bottle of shampoo can hold <math>35</math> milliliters of shampoo, whereas a large bottle can hold <math>500</math> 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? | ||
<math> | |||
\textbf{(A)}\ 11 \qquad | |||
\textbf{(B)}\ 12 \qquad | |||
\textbf{(C)}\ 13 \qquad | |||
\textbf{(D)}\ 14 \qquad | |||
\textbf{(E)}\ 15 </math> | |||
== Solution == | == Solution == | ||
Revision as of 01:31, 10 February 2011
Problem
A small bottle of shampoo can hold
milliliters of shampoo, whereas a large bottle can hold
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
by
. This simplifies to
. Since the answer must be an integer greater than
, we have to round up to
bottles=
See also
| 2011 AMC 12A (Problems • Answer Key • Resources) | |
| 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 | |