For the opening night at the Opera House, a total of 1000 tickets were sold. Front orchestra seats cost $70 apiece, rear orchestra seats cost $50
apiece, and front balcony seats cost $30 apiece. The combined number of
tickets sold for the front orchestra and rear orchestra exceeded twice the
number of front balcony tickets sold by 400. The total receipts for the
performance were $50,000. Determine how many tickets of each type were
sold?

I NEED HELP PLEASE ! I’ve tried.

Front Orchestra

Rear orchestra

Front balcony