## Algebra 2 (1st Edition)

$300$ adults and $500$ children were let in.
Assume the number of adults let in is $x$. Then the number of children let in is $800-x$. Then our equation is: $7x+(800-x)5=4600\\7x+4000-5x=4600\\2x=600\\x=300$. Thus $300$ adults and $500$ children were let in.