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Australian AMC 2021 - Upper Primary Question 25

AMC AUSTRALIA · Australian AMC 2021 - Upper Primary

Question 25

In Jeremy’s hometown of Windar, people live in either North, East, South, West or Central Windar. Jeremy is putting together a chart showing where the students in his class live, but unfortunately his dog chewed his survey results before he managed to label the five columns. He only remembers two things about the survey: South Windar is more common than both East and Central Windar, and the number of students in North and Central Windar combined is the same as the total of the other three regions. Using only this information, how many columns can Jeremy correctly label with 100% certainty?

Question illustration

The vertical axis counts students.
  1. 0
  2. 1
  3. 2
  4. 3
  5. 5