A group consisting of several families visited an amusement park where the regular admission fees were $5,500 for each adult and $4,800 for each child. Because there were at least 10 people in the group, each paid an admission fee that was 10% less than the regular admission fee. How many children were in the group?
(1) The total of the admission fees paid for the adults in the group was $ 29,700.
(2) The total of the admission fees paid for the children in the group was $4,860 more than the total of the admission fees paid for the adults in the group.