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

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==See Also==
 
==See Also==
{{AMC10 box|year=2002|ab=a|num-b=10|num-a=12}}
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{{AMC10 box|year=2002|ab=A|num-b=10|num-a=12}}
  
 
[[Category:Intermediate Algebra Problems]]
 
[[Category:Intermediate Algebra Problems]]

Revision as of 22:57, 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?

$\text{(A)}\ 12 \qquad \text{(B)}\ 13 \qquad \text{(C)}\ 14 \qquad \text{(D)}\ 15 \qquad \text{(E)} 16$

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 $\frac{12}{2}+3+4=\boxed{13\Rightarrow\text{(B)}}$.

See Also

2002 AMC 10A (ProblemsAnswer KeyResources)
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