At the recent running of the Doggie Jog, every person ran with at least one dog. The organizers want to know how many dogs and people participated. Unfortuantely, the photographer tripped as he took the group picture, and got a shot of the racers' feet, but nothing else. A reporter in a helicopter scanner picked up only the total number of eyes. If the photographer counted 196 feet and paws and the reporter tallied 126 eyes, how many people and how many dogs ran the race?