A judge oversaw seventeen court cases. Two were immediately dismissed from court. Two-thirds of the remaining cases were ruled innocent, one ruling was delayed until a later date, and the rest were judged guilty. On how many cases did the judge rule guilty? Give me reasons, before answering the question
The judge dismissed 2 cases, leaving 17 - 2 = 15 cases. Of the remaining 15 cases, 2 / 3 * 15 = 10 were ruled innocent. One ruling was delayed, so the judge ruled guilty on 15 - 10 - 1 = 4 cases. So the final answer is 4.