Thinking Skills
Zoe, Ali and Ben each have 18 counters. They take turns: showing an even number means give that many to each …
Question 1 · Multiple choice
Question
Zoe, Ali and Ben each have 18 counters. They take turns: showing an even number means give that many to each of the other two; odd means receive that many from each. Zoe spins 2. Ali spins 1. If they end with 15, 24 and 15 respectively (Zoe, Ali, Ben), what did Ben spin?
Options
- A. 1
- B. 2
- C. 3
- D. 4
Correct answer
B. 2
Explanation
Everyone starts with 18 counters. Zoe spins 2. Since 2 is even, Zoe gives 2 counters to Ali and 2 counters to Ben. So Zoe loses 4 altogether. New totals: Zoe 14, Ali 20, Ben 20 Ali spins 1. Since 1 is odd, Ali receives 1 counter from Zoe and 1 from Ben. So Ali gains 2 altogether. New totals: Zoe 13, Ali 22, Ben 19 Now test Ben's possible spin. To finish on 15, 24 and 15, Ben must lose 4 counters in total, while Zoe and Ali each gain 2. That happens when Ben spins 2, because 2 is even and he gives 2 to each of the other two. Check: Zoe 13 + 2 = 15 Ali 22 + 2 = 24 Ben 19 - 4 = 15 So Ben spun 2.