It will be like
$records = mysql_query("UPDATE `table` SET a='$b', b='$c' WHERE id = '$id' "); 
$affected_rows = mysql_affected_rows($records);
if($affected_rows >= 1) {
    echo "Updated ".$affected_rows." rows";
}
Need to remove $ before mysql_query.And consider that table is your table name and also makesure that your connection to the DB is active.
And Try to avoid mysql_* statements due to the entire ext/mysql PHP extension, which provides all functions named with the prefix mysql_*, is officially deprecated as of PHP v5.5.0 and will be removed in the future.
There are two other MySQL extensions that you can better Use: MySQLi and PDO_MySQL, either of which can be used instead of ext/mysql.