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A computer has three hard-drives; the smallest and largest hard-drives account for 25 and 45 percent of the total storage space on the computer, respectively; due to a catastrophic error, the largest hard-drive lost approximately 22% of its storage space; after this error, the hard drive that was originally the second largest accounts for approximately what percent of the total hard-drive space on the reduced computer?
  • a)
    22%
  • b)
    33%
  • c)
    20%
  • d)
    39%
  • e)
    45%
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A computer has three hard-drives; the smallest and largest hard-drives...
  1. Since there are only three hard drives and these account for 100% of the space on the computer, you can write the following equation:
    (Smallest Hard Drive) + (Medium Hard Drive) + (Large Hard Drive) = 100%
    25% + (Medium Hard Drive) + 45% = 100%
  2. You now know the size of the medium hard drive:
    (Medium Hard Drive) = 30%
  3. If the largest hard-drive lost approximately 22% of its storage space, it now accounts for (1-.22)(.45) = .351 or 35.1% of the old total space.
  4. You can now find what percent of the total hard-drive space the second largest hard drive accounts for:
    = (Drive Originally 2nd Largest) / (New Total Drive Space)
    = 30%/(35.1% + 25% + 30%) = 30%/90% = ~ 33%
  5. If the concept of manipulating and dividing percents throws you off, this is an excellent problem to pick numbers on. Simply let the percents be actual hard-drive space. In other words, set the total hard drive space to be 100GB. Then, the smallest hard-drive is 25GB, the medium hard-drive is 30GB, and the largest is 45GB. After the largest shrinks by 22%, it is now 45 x (1-.22) = 35GB. So, the reduced hard drive is 25 + 30 + 35 = 90GB and the second largest hard drive is 30GB/90GB = 33%.
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A computer has three hard-drives; the smallest and largest hard-drives...
  1. Since there are only three hard drives and these account for 100% of the space on the computer, you can write the following equation:
    (Smallest Hard Drive) + (Medium Hard Drive) + (Large Hard Drive) = 100%
    25% + (Medium Hard Drive) + 45% = 100%
  2. You now know the size of the medium hard drive:
    (Medium Hard Drive) = 30%
  3. If the largest hard-drive lost approximately 22% of its storage space, it now accounts for (1-.22)(.45) = .351 or 35.1% of the old total space.
  4. You can now find what percent of the total hard-drive space the second largest hard drive accounts for:
    = (Drive Originally 2nd Largest) / (New Total Drive Space)
    = 30%/(35.1% + 25% + 30%) = 30%/90% = ~ 33%
  5. If the concept of manipulating and dividing percents throws you off, this is an excellent problem to pick numbers on. Simply let the percents be actual hard-drive space. In other words, set the total hard drive space to be 100GB. Then, the smallest hard-drive is 25GB, the medium hard-drive is 30GB, and the largest is 45GB. After the largest shrinks by 22%, it is now 45 x (1-.22) = 35GB. So, the reduced hard drive is 25 + 30 + 35 = 90GB and the second largest hard drive is 30GB/90GB = 33%.
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A computer has three hard-drives; the smallest and largest hard-drives account for 25 and 45 percent of the total storage space on the computer, respectively; due to a catastrophic error, the largest hard-drive lost approximately 22% of its storage space; after this error, the hard drive that was originally the second largest accounts for approximately what percent of the total hard-drive space on the reduced computer?a)22%b)33%c)20%d)39%e)45%Correct answer is option 'B'. Can you explain this answer?
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