SOLUTION: the gate receipts at the basketball game in gym is 43,500 pesos for 2 500 spectators. If the price for reserved seat was 20 pesos and the general admission was 15 pesos, how many t

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 Question 476270: the gate receipts at the basketball game in gym is 43,500 pesos for 2 500 spectators. If the price for reserved seat was 20 pesos and the general admission was 15 pesos, how many ticket were sold each kind?Answer by Maths68(1474)   (Show Source): You can put this solution on YOUR website!Total amount for selling tickets for general and reserved seats = 43,500 pesos price of a ticket for reserved seat = 20 pesos price of a ticket for general admission = 15 pesos, Total = 2500 spectators or tickets Let Tickets sold for reserved seat = x Tickets sold for general admission = y 20x+15y=43500..............(1) x+y=2500........................(2) x+y=2500 x=2500-y........................(3) Put the value of x in (1) 20(2500-y )+15y=43500 50000-20y+15y=43500 50000-5y=43500 -5y=43500-50000 -5y=-6500 Multiply by (-1) both sides 5y=6500 Divid by 5 both sides 5y/5=6500/5 Y=1300 Put the value of y in (3) x=2500-y x=2500-1300 x=1200 Tickets sold for reserved seat=1200 And Tickets sold for general admission=1300