SAT Math Multiple Choice Question 539: Answer and Explanation

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Question: 539

14. Every weekend for 48 hours, a law firm backs up all client files by scanning and uploading them to a secure remote server. On average, the size of each client file is 2.5 gigabytes. The law firm's computer can upload the scans at a rate of 5.25 megabytes per second. What is the maximum number of client files the law firm can back up each weekend? (1 gigabyte = 1,000 megabytes)

  • A. 362
  • B. 363
  • C. 476
  • D. 477

Correct Answer: A



Difficulty: Hard

Category: Problem Solving and Data Analysis / Rates, Ratios, Proportions, and Percentages

Strategic Advice: Don't let all the technical words in this question overwhelm you. Solve it step-by-step, examining the units as you go. Notice that some of the numbers in the answer choices are just 1 apart, so think carefully before selecting your answer.

Getting to the Answer: Step 1: Determine the number of megabytes the computer can upload in 1 weekend (48 hours):

Step 2: Convert this amount to gigabytes (because the information about the scans is given in gigabytes, not megabytes):

Step 3: Each client file is about 2.5 gigabytes in size, so divide this number by 2.5 to determine how many client files the computer can upload to the remote server: 907.2 รท 2.5 = 362.88 files. Remember, you should round this number down to 362, because the question asks for the maximum number the computer can upload, and it cannot complete the 363rd scan in the time allowed.

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