document.write( "Question 1201132: Formulate a system of equations for the situation below and solve.\r
\n" ); document.write( "\n" ); document.write( "A theater has a seating capacity of 750 and charges $4 for children, $6 for students, and $8 for adults. At a certain screening with full attendance, there were half as many adults as children and students combined. The receipts totaled $4600. How many children attended the show?
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Algebra.Com's Answer #835609 by MathTherapy(10552)\"\" \"About 
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document.write( "Formulate a system of equations for the situation below and solve.\r\n" );
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document.write( "A theater has a seating capacity of 750 and charges $4 for children, $6 for students, and $8 for adults. At a certain screening with full attendance, there were half as many adults as children and students combined. The receipts totaled $4600. How many children attended the show?\r\n" );
document.write( " ______children\r\n" );
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document.write( "Let number of children, students, and adults, be C, S, and A, respectively\r\n" );
document.write( "Then we get: \r\n" );
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document.write( "You requested the above!!\r\n" );
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document.write( "                  2A + A = 750 ----- Substituting 2A for C + S in eq (i)\r\n" );
document.write( "                      3A = 750\r\n" );
document.write( " Number of adults, or \"matrix%281%2C5%2C+A%2C+%22=%22%2C+750%2F3%2C+%22=%22%2C+250%29\"\r\n" );
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document.write( "                   C + S = 2(250) --- Substituting 250 for A in eq (iii) \r\n" );
document.write( "                   C + S = 500\r\n" );
document.write( "                       S = 500 - C -- eq (iv)\r\n" );
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document.write( "            4C + 6S + 8A = 4,600 ---- eq (ii)\r\n" );
document.write( "4C + 6(500 - C) + 8(250) = 4,600 ---- Substituting 500 - C, and 250, for S and A, respectively, in eq (ii) \r\n" );
document.write( " 4C + 3,000 - 6C + 2,000 = 4,600\r\n" );
document.write( "                 4C - 6C = 4,600 - 5,000\r\n" );
document.write( "                    - 2C = - 400\r\n" );
document.write( "Number of children, or
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