IMC 2006 Q16
16. Al, Bertie, Chris and Di have sums of money totalling £150. Al and Bertie have £55 between them and Al and Chris have £65 between them. What is the difference between the amounts that Al and Di have?
- A £25
- B £30
- C £35
- D £40
- E £45
Intermediate Mathematical Challenge 2006, Question 16. © UK Mathematics Trust. Original paper on ukmt.org.uk
Answer: B £30
Al and Bertie have £55 between them, so Chris and Di have £150 − £55, that is £95, between them. As Al and Chris have £65 between them, the difference between the amounts Al and Di have is £95 − £65.
Solution © UK Mathematics Trust, from the IMC 2006 solutions.