2002 AMC 10A Problems/Problem 11

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
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2002 AMC 10A Problems/Problem 11

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