Question 992769: a 1300-seat theater for a concert. premium seats sell for 40$ each and regular seats sell for 30$ each. at one event 44,440$ was collected in ticket sales with 30 seats left unsold.how many of each type of ticket was sold?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! a 1300-seat theater for a concert. premium seats sell for 40$ each and regular seats sell for 30$ each. at one event 44,440$ was collected in ticket sales with 30 seats left unsold.how many of each type of ticket was sold?
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Equations:
p + r = 1270 tickets
40p + 30r = 44,440
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Modify for elimination::
4p + 4r = 4*1270
4p + 3r = 4444
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Solve for "r"::
r = 636 (# of regular seats sold)
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Solve for p::
p + 636 = 1270
p = 634 (# of premium seats sold)
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Cheers,
Stan H.
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