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| − | ==Problem==
| + | #redirect [[2002 AMC 12A Problems/Problem 9]] |
| − | 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?
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| − | <math>\text{(A)}\ 12 \qquad \text{(B)}\ 13 \qquad \text{(C)}\ 14 \qquad \text{(D)}\ 15 \qquad \text{(E)} 16</math>
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| − | ==Solution==
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| − | 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>.
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| − | ==See Also==
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| − | {{AMC10 box|year=2002|ab=A|num-b=10|num-a=12}}
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| − | [[Category:Intermediate Algebra Problems]] | |
