A sum of money was shared equally among 7 boys and 10 girls. After each boy gave 2/5 of his money to the girls, 40% of the total amount of money the girls received from the boys was $1960.
(a) What was amount of money each boy received?
(b) If the original amount of money was shared with 1 more boy and 2 more girls, what was the average amount of money received by each child?