document.write( "Question 1122463: A theater has a seating capacity of 1050 and charges $3 for children, $5 for students, and $7 for adults. At a certain screening with full attendance, there were half as many adults as children and students combined. The receipts totaled $5150. How many children attended the show? \n" ); document.write( "
Algebra.Com's Answer #738602 by josgarithmetic(39630)\"\" \"About 
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c children
\n" ); document.write( "e students
\n" ); document.write( "a adults\r
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\n" ); document.write( "\n" ); document.write( "\"a%2F2=%28c%2Be%29\"-----half as many adults as sum of students & children\r
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\n" ); document.write( "\n" ); document.write( "\"a=2c%2B2e\"\r
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\n" ); document.write( "\n" ); document.write( "\"system%28c%2Be%2Ba=1050%2C3c%2B5e%2B7a=5150%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"c%2Be%2B2c%2B2e=1050\"
\n" ); document.write( "\"3c%2B3e=1050\"
\n" ); document.write( "\"c%2Be=350\"\r
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\n" ); document.write( "\n" ); document.write( "\"3c%2B5e%2B7%282c%2B2e%29=5150\"
\n" ); document.write( "\"17c%2B19e=5150\"\r
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\n" ); document.write( "\n" ); document.write( "Revised simplified system in TWO variables:
\n" ); document.write( "\"system%28c%2Be=350%2C17c%2B19e=5150%29\", and remember \"a=2e%2B2c\".
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