Talulah's tulips

Weekly Problem 10 - 2017
Talulah plants some tulip bulbs. When they flower, she notices something interesting about the colours. What fraction of the tulips are white?
Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
Being curious Being resourceful Being resilient Being collaborative

Problem



Talulah plants $60$ tulip bulbs. When they flower, she notes the following:
  • Half the tulips are yellow
  • One third of those which are not yellow are red
  • One quarter of those which are neither red nor yellow are pink
  • The remainder are white
What fraction of the tulips are white?

If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.