document.write( "Question 1144208: student tickets at a high school basketball game cost $2.50 each adult tickets cost $6 each the ticket sales at the first game of the season total $7,000 write a model that shows the numbers of student and adult ticket that could have been sold then graph the model and determine three combinations of student and adult tickets that satisfy the model \n" ); document.write( "
Algebra.Com's Answer #765240 by ikleyn(52781)\"\" \"About 
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document.write( "If x is the number of student tickets and y is the number of adult tickets, then the revenue is 2.50*x + 6*y dollars.\r\n" );
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document.write( "The model, the problem asks for, is this equation\r\n" );
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document.write( "    2.50x + 6y = 7000   dollars,     (1)\r\n" );
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document.write( "saying that the revenue is 7000 dollars.\r\n" );
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document.write( "Equation (1) represent a straight line  y = \"%287000-2.50x%29%2F6\".\r\n" );
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document.write( "The positive integer numbers x and y satisfying equation (1), represent possible solutions to the problem.\r\n" );
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document.write( "With the only one equation (1), there are many such solutions.\r\n" );
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document.write( "For example, you may check it on your own, that the pairs  (x,y) = (4,1165),  (16,1160), (28,1155) are integer solutions to equation (1).\r\n" );
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document.write( "With only one restriction (1) to two variables x and y, there are many solutions to this equation.\r\n" );
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document.write( "In typical \"ticket problem\", in addition to one restriction (1) on revenue, the second restriction on the total number \r\n" );
document.write( "of items x + y usually comes.\r\n" );
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document.write( "Then with two restrictions for two variables x and y, the problem has a unique solution (if the problem is posed correctly).\r\n" );
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\n" ); document.write( "\n" ); document.write( "On standard ticket problems, see the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Using systems of equations to solve problems on tickets \r
\n" ); document.write( "\n" ); document.write( "    - Three methods for solving standard (typical) problems on tickets\r
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\n" ); document.write( "\n" ); document.write( "Also,  you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Systems of two linear equations in two unknowns\".\r
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\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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