SAT Math Multiple Choice Question 745: Answer and Explanation

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Question: 745

10. The average size of a compressed image file is 750 kB. If Ronika's data plan allows her to send 2 GB of data each month before she pays any overage charges, but she plans to use 85% of that data for texting, approximately how many compressed images can she send each month before she incurs any overage charges? (1 GB = 1,000 MB; 1 MB = 1,000 kB)

  • A. 227
  • B. 400
  • C. 2,267
  • D. 4,000

Correct Answer: B

Explanation:

B

Problem Solving (rates) MEDIUM

If Ronika plans to use 85% of her 2 GB data plan for texting, she will have only (15%)(2 GB) = (0.15)(2,000 MB) = 300 MB = 300,000 kB available for image files. Since the average image file is 750 kB, she will be able to send 300,000 kB/750 kB = 400 images per month.

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