Difference between revisions of "2002 AMC 10A Problems/Problem 11"

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==Problem==
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#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?
 
 
 
<math>\text{(A)}\ 12 \qquad \text{(B)}\ 13 \qquad \text{(C)}\ 14 \qquad \text{(D)}\ 15 \qquad \text{(E)} 16</math>
 
 
 
==Solution==
 
We can store a 0.4 MB plus a 0.8 MB file on a disk, or 2 0.7s, but not a 0.8 and a 0.7 together. Hence, our answer is <math>\frac{12}{2}+3+4=\boxed{13\Rightarrow\text{(B)}}</math>.
 
 
 
==See Also==
 
{{AMC10 box|year=2002|ab=a|num-b=10|num-a=12}}
 
 
 
[[Category:Intermediate Algebra Problems]]
 

Latest revision as of 14:37, 18 February 2009