Difference between revisions of "2011 AMC 12A Problems/Problem 3"
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== Solution 2 == | == Solution 2 == | ||
− | We double <math>35</math> to get <math>70.</math> We see that <math>70\cdot7=490,</math> which is very close to <math>500.</math> Thus, <math>2\cdot7+1=\boxed{\text{(E)} 15</math> bottles are enough. | + | We double <math>35</math> to get <math>70.</math> We see that <math>70\cdot7=490,</math> which is very close to <math>500.</math> Thus, <math>2\cdot7+1=\boxed{\text{(E)} 15}</math> bottles are enough. |
~Technodoggo | ~Technodoggo | ||
Latest revision as of 17:56, 10 August 2023
Contents
[hide]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 1
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, or
Solution 2
We double to get We see that which is very close to Thus, bottles are enough. ~Technodoggo
Video Solution
~savannahsolver
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 |
2011 AMC 10A (Problems • Answer Key • Resources) | ||
Preceded by Problem 1 |
Followed by Problem 3 | |
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 10 Problems and Solutions |
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