The admission fee for a charity event is $7 for children and $10 for adults. The event was attended by 700 people, and the total amount collected in admissions was $6,400. There were(blank) children and (blank)adults at the show.

7x+10y=6400
x+y=700
x=700-y
7(700-y)+10y=6400
4900-7y+10y=6400
-7y+10y=1500
3y=1500
y=500
x=700-y
x=700-500
x=200
there were 200 children and 500 adults at the show