Formulate a system of equations for the situation below and solve. For the opening night at...
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 $100 apiece, rear orchestra
seats cost $80 apiece, and front balcony seats cost $60 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 $80,000.
Determine how many tickets of each type were sold.
| front orchestra | |
| rear orchestra | |
| front balcony |
Homework Answers
let x,y and z are tickets sold of Front orchestra rear orchestra ad front balcony seats
x+y+z =1000 ..........(1)
100x+80y+60z =80000 .......(2)
x+y=2y+400 .............(3)
solvign above
front orchestra =200
rear orchestra =600
front balcony =200
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