Level 2
Party Time
At a very large town party, there were 1500 men and women (excluding the children) at the start of the party. In about an hour after the party gets going, 22 men decide to leave. 3 minutes after that, 14 woman walk out with 39 children. No one else leaves until the time since the party started reaches 1 and a half hours, where 59 more children leave. Everyone else exits around 5 hours into the party. At one hour and 15 minutes, the total number of people in the party numbered 1659 (including the men, women, and children). No one enters the party who didn't come in at the beginning. How many children were there in the beginning?