Answer:
Step-by-step explanation:
GIVEN: For the opening night at the Opera House, a total of tickets were sold. Front orchestra seats cost apiece, rear orchestra seats cost apiece, and front balcony seats cost apiece. The combined number of tickets sold for the front orchestra and rear orchestra exceeded twice the number of front balcony tickets sold by . The total receipts for the performance were .
TO FIND: how many tickets of each type were sold.
SOLUTION:
Let the number of Front orchestra seats sold
Let the number of rear orchestra seats sold
Let the number of Front balcony seats sold
total number of tickets sold
Now,
The combined number of tickets sold for the front orchestra and rear orchestra exceeded twice the number of front balcony tickets sold by .
solving both equations we get,
total revenue from Front balcony seats
total revenue from front and rear orchestra
total revenue from front and rear orchestra
Solving both equations we get,
Hence total front orchestra, rear orchestra and front balcony tickets sold are