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

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

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

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 ==Solution==
-We can store a 0.4 MB plus a 0.8 or 0.7 MB file on a disk, but not a 0.8 and a 0.7 together. Hence, since the number of 0.4 MB files and the number of 0.7 or 0.8 MB files together are equal, we can simply discount the number of 0.4 MB files, and our answer is <math>12+3=\boxed{15\Rightarrow\text{(A)}}</math>.
+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>.
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Difference between revisions of "2002 AMC 10A Problems/Problem 11"

Revision as of 22:57, 26 December 2008

Problem

Solution

See Also