document.write( "Question 1056090: On the opening night of a play at a local theater, 992 tickets were sold for a total of $11,680. Adult tickets cost $14 each. Children's tickets cost $11 each, and senior citizen tickets cost $8 each. If the combined number of children and adult tickets exceeded twice the number of senior citizen tickets by 287, then how many tickets of each type were sold?\r
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Algebra.Com's Answer #671305 by MathTherapy(10551) $\"\"$ $\"About$

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On the opening night of a play at a local theater, 992 tickets were sold for a total of $11,680. Adult tickets cost $14 each. Children's tickets cost $11 each, and senior citizen tickets cost $8 each. If the combined number of children and adult tickets exceeded twice the number of senior citizen tickets by 287, then how many tickets of each type were sold?
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Let number of adult, children, and senior citizen tickets sold, be A, C, and S, respectively
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document.write( "Then we get: A + C + S = 992 -------- eq (i)
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document.write( "Also, 14A + 11C + 8S = 11,680 ------- eq (ii)
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document.write( "And, A + C - 2S = 287 ------- eq (iii)
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document.write( "3S = 705 ------ Subtracting eq (iii) from eq (i) 
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document.write( "S, or , or \r
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document.write( "A + C + 235 = 992 _----- Substituting 235 for S in eq (i)
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document.write( "A + C = 992 - 235_____A + C = 757_____A = 757 - C ----- eq (iv)
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document.write( "14(757 - C) + 11C + 8(235) = 11,680 ---- Substituting 757 - C for A, and 235 for S in eq (ii)
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document.write( "10,598 - 14C + 11C + 1,880 = 11,680
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document.write( "- 14C + 11C + 12,478 = 11,680 
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document.write( "- 3C = 11,680 - 12,478	
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document.write( "- 3C = - 798	
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document.write( "C, or , or \r
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document.write( "A = 757 - 266 ------ Substituting 266 for C in eq (iv)	
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document.write( "A, or  \n" );
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