Thinking Skills
Ed, Fay and Gil each have 16 coins. They take turns: showing an even number means give that many to each of t…
Question 1 · Multiple choice
Question
Ed, Fay and Gil each have 16 coins. They take turns: showing an even number means give that many to each of the other two; odd means receive that many from each. Ed spins 2. Fay spins 3. After Gil's spin they end with 8, 23 and 17 coins respectively (Ed, Fay, Gil). What did Gil spin?
Options
- A. 1
- B. 2
- C. 3
- D. 4
Correct answer
A. 1
Explanation
Everyone starts with 16 coins. Ed spins 2. Since 2 is even, Ed gives 2 coins to Fay and 2 coins to Gil. So Ed loses 4 altogether. New totals: Ed 12, Fay 18, Gil 18 Fay spins 3. Since 3 is odd, Fay receives 3 coins from Ed and 3 from Gil. So Fay gains 6 altogether. New totals: Ed 9, Fay 24, Gil 15 Now test Gil's possible spin. To finish on 8, 23 and 17, Gil must gain 2 coins, while Ed and Fay each lose 1. That happens when Gil spins 1, because 1 is odd and Gil receives 1 from each of the other two. Check: Ed 9 - 1 = 8 Fay 24 - 1 = 23 Gil 15 + 2 = 17 So Gil spun 1.