Answer:
A. 200 Children
B. 280 People
Explanation:
Let the total number of people attending the show be Y
Given that 2/7 of the people attending were adults, the number of adults A
A = 2/7 Y
Since the rest were children, the number of children C
C = Y - 2/7 Y
= 5/7 Y
2/5 of the children were boys, the number of boys B
B = 2/5 * 5/7Y
= 2/7 Y
The number of Girls G
G = 5/7 Y - 2/7 Y
= 3/7 Y
Given that there were 120 girls attending the performance
3/7 Y = 120
3Y = 120 * 7
Y = 120 * 7/3
= 280
The number of children in the shown C
= 5/7 * 280
= 200
The number of people at the show is Y = 280