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Australian AMC 2021 - Senior Question 12

AMC AUSTRALIA · Australian AMC 2021 - Senior

Question 12

In autumn, Tilly’s meadow changes rapidly with the weather. The number of flowering plants starts at 150 000 and halves each week as plants die off. The number of fungi starts at 20 and triples each week. To the nearest week, how long will it be until the fungi outnumber the flowering plants?
  1. 3 weeks
  2. 5 weeks
  3. 8 weeks
  4. 11 weeks
  5. 13 weeks