Thinking Skills
Meg, Ned and Ola each have 18 tokens. They take turns drawing a card showing 1, 2 or 3. Even number: give tha…
Question 1 · Multiple choice
Question
Meg, Ned and Ola each have 18 tokens. They take turns drawing a card showing 1, 2 or 3. Even number: give that many to each of the other two. Odd: receive that many from each. Meg draws 3. Ned draws 2. If they end with 25, 10 and 19 respectively (Meg, Ned, Ola), what did Ola draw?
Options
- A. 1
- B. 2
- C. 3
- D. Cannot tell
Correct answer
A. 1
Explanation
Method 1: Work through the draws one by one. Everyone starts with 18 tokens. Meg draws 3. Since 3 is odd, Meg receives 3 tokens from each of the other two. So Meg gains 6 altogether, while Ned and Ola each lose 3. New totals: Meg 24, Ned 15, Ola 15 Ned draws 2. Since 2 is even, Ned gives 2 tokens to each of the other two. So Ned loses 4 altogether, while Meg and Ola each gain 2. New totals: Meg 26, Ned 11, Ola 17 Now test Ola's possible draw. If Ola draws 1, Ola receives 1 from Meg and 1 from Ned. That gives: Meg 25, Ned 10, Ola 19 This matches the question exactly. So Ola drew 1.