17.24 USE problems

Problem: The children ate sandwiches and sweets at the New Year's table, and each of them ate something, and someone might have eaten both. It is known that the boys who ate sandwiches were no more than \( 5 / 16 \) of the total number of children who ate sandwiches, and the boys who ate sweets were no more than \( 2 / 5 \) of the total number of children who ate sweets. a) Could there be 13 boys at the table if it is additionally known that there were 25 children in total at the table? b) What is the largest number of boys that could be at the table, if it is additionally known that there were 25 children at the table? c) What was the smallest share of girls in the total number of children without taking into account the additional conditions of points \( a \) and \( b \) ?