A mom with four children decided she wanted to control how to divide up the amount of Halloween candy collected. She combined al
l their candy into one big bag and this was how she divided it… To the oldest child, a boy, she gave one candy bar and 1/4 of what remained; and to each of the other children she did the same. (Gave one candy bar + 1/4 of the rest) The second child was a girl, the third a boy, and the last a girl. It was found that the boys had received 100 more candy bars than the girls. What was the initial number of candy bars and how many did each person get?