Give the step-by-step reasoning process and then the final answer. Susan had a bouquet of 3 dozen roses. She gave half to her daughter, and then placed the rest in a vase. The next day, one-third of the flowers in the vase were wilted. After removing the wilted flowers, how many flowers remained in the vase?
Susan had a bouquet of 3 dozen roses, which is 3 * 12 = 36 flowers. She gave half, 36 / 2 = 18, to her daughter. Then she placed her 36 - 18 = 18 remaining flowers in a vase. One - third of the 18 flowers in the vase wilted, resulting in 18 / 3 = 6 wilted flowers. After removing the wilted flowers, Susan had 18 - 6 = 12 flowers remaining in the vase.
The final answer: 12.