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 31, 10 and 31 tokens respectively, what number did Nina spin?
Options
- A. 1
- B. 2
- C. 3
- D. 4
Correct answer
C. 3
Explanation
Method 1: Work through the spins one by one. Everyone starts with 24 tokens. Lina spins 3. Since 3 is odd, Lina receives 3 tokens from each of the other two. So Lina gains 6, and Mo and Nina each lose 3. New totals: Lina 30, Mo 21, Nina 21 Mo spins 4. Since 4 is even, Mo gives 4 tokens to each of the other two. So Mo loses 8, and Lina and Nina each gain 4. New totals: Lina 34, Mo 13, Nina 25 Now test Nina's possible spins. If Nina spins 1, she would receive 1 from each person, giving 33, 12, 27. If Nina spins 2, she would give 2 to each person, giving 36, 15, 21. If Nina spins 3, she would receive 3 from each person, giving 31, 10, 31. This matches the question exactly. So Nina spun 3.