document.write( "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? \n" ); document.write( "
Algebra.Com's Answer #326619 by Maths68(1474)![]() ![]() You can put this solution on YOUR website! Total amount for selling tickets for general and reserved seats = 43,500 pesos \n" ); document.write( "price of a ticket for reserved seat = 20 pesos \n" ); document.write( "price of a ticket for general admission = 15 pesos, \n" ); document.write( "Total = 2500 spectators or tickets\r \n" ); document.write( "\n" ); document.write( "Let \n" ); document.write( "Tickets sold for reserved seat = x \n" ); document.write( "Tickets sold for general admission = y\r \n" ); document.write( "\n" ); document.write( "20x+15y=43500..............(1) \n" ); document.write( "x+y=2500........................(2)\r \n" ); document.write( "\n" ); document.write( "x+y=2500 \n" ); document.write( " x=2500-y........................(3) \n" ); document.write( "Put the value of x in (1) \n" ); document.write( "20(2500-y )+15y=43500 \n" ); document.write( "50000-20y+15y=43500 \n" ); document.write( "50000-5y=43500 \n" ); document.write( "-5y=43500-50000 \n" ); document.write( "-5y=-6500 \n" ); document.write( "Multiply by (-1) both sides \n" ); document.write( "5y=6500 \n" ); document.write( "Divid by 5 both sides \n" ); document.write( "5y/5=6500/5 \n" ); document.write( "Y=1300 \n" ); document.write( "Put the value of y in (3) \n" ); document.write( "x=2500-y \n" ); document.write( "x=2500-1300 \n" ); document.write( "x=1200\r \n" ); document.write( "\n" ); document.write( "Tickets sold for reserved seat=1200 \n" ); document.write( "And \n" ); document.write( "Tickets sold for general admission=1300 \n" ); document.write( " |