ormulate a system of equations for the situation below and solve. 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 $40 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 $54,400. Determine how many tickets of each type were sold.
ormulate a system of equations for the situation below and solve. 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 $40 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 $54,400. Determine how many tickets of each type were sold.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Formulate a system of equations for the situation below and solve.
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 $40 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 $54,400. Determine how many tickets of each type were sold.
front orchestra
rear orchestra
front balcony
only HANDWRITTEN answer needed ( NOT TYPED)
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