Thinking Skills
Lina, Mo and Nina each have 24 tokens. They take turns spinning a wheel that shows 1, 2, 3 or 4. If the numbe…
Question 1 · Multiple choice
Question
Lina, Mo and Nina each have 24 tokens. They take turns spinning a wheel that shows 1, 2, 3 or 4. If the number is even, that player gives that many tokens to each of the other two. If the number is odd, that player receives that many tokens from each of the other two. Lina spins 3. Mo spins 4. If they end up with 32, 14 and 26 tokens respectively, what number did Nina spin?
Options
- A. 1
- B. 2
- C. 3
- D. 4
Correct answer
C. 3
Explanation
After Lina spins 3 (odd): she receives 3 from each. Lina 30, Mo 21, Nina 21. After Mo spins 4 (even): Mo gives 4 to each. Lina 34, Nina 25, Mo 13. So we have (34, 13, 25). We need (32, 14, 26). So Lina must lose 2, Mo gain 1, Nina gain 1. If Nina spins 2 (even), she gives 2 to each: Lina 32, Mo 11, Nina 21—only Lina matches. So the intended final order might be (32, 14, 26) = (Lina, Mo, Nina). Then 34−S=32 ⇒ S=2. So Nina spins 2. Answer B.