Thinking Skills
Ivan, Jen and Kim each have 18 tokens. They take turns in that order (Ivan, then Jen, then Kim). On an even s…
Question 1 · Multiple choice
Question
Ivan, Jen and Kim each have 18 tokens. They take turns in that order (Ivan, then Jen, then Kim). On an even spin you give that many tokens to each of the other two people; on an odd spin you receive that many tokens from each of the other two. Ivan spins 2. Jen spins 3. Kim spins last. They finish with Ivan on 13, Jen on 28, and Kim on 13. What number did Kim spin?
Options
- A. 1
- B. 2
- C. 3
- D. 4
Correct answer
B. 2
Explanation
Everyone starts with 18 tokens. Ivan spins 2. Since 2 is even, Ivan gives 2 tokens to Jen and 2 tokens to Kim. So Ivan loses 4 altogether. New totals: Ivan 14, Jen 20, Kim 20 Jen spins 3. Since 3 is odd, Jen receives 3 tokens from Ivan and 3 from Kim. So Jen gains 6 altogether. New totals: Ivan 11, Jen 26, Kim 17 Now test Kim's possible spin. To finish on 13, 28 and 13, Kim must lose 4 altogether, while Ivan and Jen each gain 2. That happens when Kim spins 2, because 2 is even and she gives 2 to each of the other two. Check: Ivan 11 + 2 = 13 Jen 26 + 2 = 28 Kim 17 - 4 = 13 So Kim spun 2.