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A pie chart shows how the 1,800 books of a school library are divided among four sections. The sector for Science measures 80° and the sector for Fiction is exactly twice as large. How many more Fiction books than Science books does the library hold?

Competition practiceData & Probability
  • A800
  • B400
  • C80
  • D160

Step-by-Step Solution

Fiction takes ° = 160°, so it holds books, while Science holds books. The difference is 800 − 400 = 400 books. Equivalently the 80° gap between the sectors is 80/360 = 2/9 of the collection, and . The value 800 is Fiction's own total rather than the difference, and 80 and 160 are ANGLES in degrees read off as though they were counts of books.
Answer: B) 400

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