in a stadium, the number of girls is equal to the number of men. there are 252 females altogether, 7/9 of the children and 2/3 of the adults are females.

a) find the number of girls
b) find the difference in the number of children and adults

Let the total number of Children be 9 units.
=> there are 7units of girl. Since the number of girls is same as the number of men, there will also be 7 units of men.
Men made up 1/3 of the adult, thus 2/3 of the adult is women, which is 14units.

7units of girls and 14units of women = 252 females => 1 unit = 12.

a) number of girls = 7 units x 12 = 84 girls.
b) total children is 9units = 9x12 = 108
total adult is 21units = 21x12 = 252
difference is 252-108 = 144.