Difference between revisions of "2002 AMC 10A Problems/Problem 11"
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==Solution== | ==Solution== | ||
| − | + | Our best possibilities are storing a 0.8 and a 0.4, two 0.7, or three 0.4s on one disk. On three disks, we put a 0.8 and a 0.4 each. On 6 other disks, we put two 0.7s each. We put the remaining 12 0.4s in 4 disks in groups of 3. As these take care of all the files, and it is easy to verify that we cannot use less space, our answer is <math>\boxed{ \text{(B)}\ 13 }</math>. | |
==See Also== | ==See Also== | ||
Revision as of 23:02, 26 December 2008
Problem
Jamal wants to save 30 files onto disks, each with 1.44 MB space. 3 of the files take up 0.8 MB, 12 of the files take up 0.7 MB, and the rest take up 0.4 MB. It is not possible to split a file onto 2 different disks. What is the smallest number of disks needed to store all 30 files?
Solution
Our best possibilities are storing a 0.8 and a 0.4, two 0.7, or three 0.4s on one disk. On three disks, we put a 0.8 and a 0.4 each. On 6 other disks, we put two 0.7s each. We put the remaining 12 0.4s in 4 disks in groups of 3. As these take care of all the files, and it is easy to verify that we cannot use less space, our answer is 
.
See Also
| 2002 AMC 10A (Problems • Answer Key • Resources) | ||
| Preceded by Problem 10 |
Followed by Problem 12 | |
| 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 | ||
