MathDB
Minimizing Disk Quantity

Source:

February 11, 2008

Problem Statement

Jamal wants to store 30 30 computer files on floppy disks, each of which has a capacity of 1.44 1.44 megabytes (MB). Three of his files require 0.8 0.8 MB of memory each, 12 12 more require 0.7 0.7 MB each, and the remaining 15 15 require 0.4 0.4 MB each. No file can be split between floppy disks. What is the minimal number of floppy disks that will hold all the files? <spanclass=latexbold>(A)</span> 12<spanclass=latexbold>(B)</span> 13<spanclass=latexbold>(C)</span> 14<spanclass=latexbold>(D)</span> 15<spanclass=latexbold>(E)</span> 16 <span class='latex-bold'>(A)</span>\ 12 \qquad <span class='latex-bold'>(B)</span>\ 13 \qquad <span class='latex-bold'>(C)</span>\ 14 \qquad <span class='latex-bold'>(D)</span>\ 15 \qquad <span class='latex-bold'>(E)</span>\ 16