Anne, Beth and Chris have 10 candies to divide amongst themselves. Anne gets at least 3 candies, while Beth and Chris each get at least 2. If Chris gets at most 3, the number of candies that Beth could get is
(A) 2
(B) 2 or 3
(C) 3 or 4
(D) 2, 3 or 5
(E) 2, 3, 4, or 5

Part C: Each correct answer is worth 8.
Anne, Beth and Chris have 10 candies to divide amongst themselves. Anne gets at least 3 candies, while Beth and Chris each get at least 2. If Chris gets at most 3, the number of candies that Beth could get is
(A) 2
(B) 2 or 3
(C) 3 or 4
(D) 2, 3 or 5
(E) 2, 3, 4, or 5

## Solution

If Anne gets at least 3 candies and Chris gets either 2 or 3 this implies that Beth could get as many as 5 candies if Chris gets only 2. If Chris and Anne increase their number of candies this means that Beth could get any number of candies ranging from 2 to 5 .

ANSWER: (E)

## Part C