IMC 2007 Q4
4. Between them, Ginger and Victoria eat two thirds of a cake. If Ginger eats one quarter of the cake, what fraction of the cake does Victoria eat?
- A \(\dfrac{1}{2}\)
- B \(\dfrac{2}{5}\)
- C \(\dfrac{3}{8}\)
- D \(\dfrac{4}{9}\)
- E \(\dfrac{5}{12}\)
Intermediate Mathematical Challenge 2007, Question 4. © UK Mathematics Trust. Original paper on ukmt.org.uk
Answer: E \(\dfrac{5}{12}\)
The fraction of the cake which Victoria eats is \(\dfrac{2}{3} - \dfrac{1}{4}\), that is \(\dfrac{5}{12}\).
Solution © UK Mathematics Trust, from the IMC 2007 solutions.