document.write( "Question 1155419: A play was attended by 320 people. Regular tickets were $15 each, while student tickets were priced at $10. The total receipts were $4,200. Set up a system of linear equations in order to determine how many of each types of tickets were sold \n" ); document.write( "

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\n" ); document.write( "A play was attended by 320 people. Regular tickets were $15 each, while student tickets were priced at $10. The total receipts were $4,200. Set up a system of linear equations in order to determine how many of each types of tickets were sold
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Let regular and student tickets be r and s, respectively
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document.write( "Then we get: r + s = 320___r = 320 - s ------- eq (i)
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document.write( "Also, 15r + 10s = 4,200_____5(3r + 2s) = 5(840)______3r + 2s = 840 ------ eq (ii)
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document.write( "3(320 - s) + 2s = 840 ------ Substituting 320 - s for r in eq (ii)
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document.write( "960 - 3s + 2s = 840
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document.write( "- s = 840 - 960
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document.write( "- s = - 120
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document.write( "s, or 
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document.write( "You should be able to find the number of regular tickets sold! \n" );
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