Answer: There are 140 adults and 40 children.
Step-by-step explanation:
Let 2x = Number of children
7x = Number of adults.
As there are 100 more adults than children.
That means, [tex]7x-2x = 100[/tex]
[tex]\Rightarrow\ 5x=100\\\\\Rightarrow\ x=\dfrac{100}{5}\\\\\Rightarrow\ x=20[/tex]
Number of children = 2 (20)=40
Number of adults = 7(20) = 140
Hence, there are 140 adults and 40 children.