document.write( "Question 1141992: A movie theater has a seating capacity of 207. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 1498, How many children, students, and adults attended? \n" ); document.write( "
Algebra.Com's Answer #762645 by josgarithmetic(39792)\"\" \"About 
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a adults
\n" ); document.write( "x students
\n" ); document.write( "c children\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"system%28a%2Bc%2Bx=207%2Cc%2Fa=2%2C5c%2B7x%2B12a=1498%29\"
\n" ); document.write( "Simplify and solve the system.\r
\n" ); document.write( "\n" ); document.write( "-\r
\n" ); document.write( "\n" ); document.write( "\"a%2B2a%2Bx=207\"
\n" ); document.write( "\"3a%2Bx=207\"
\n" ); document.write( "\"x=207-3a\"\"and\"\"c=2a\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-\r
\n" ); document.write( "\n" ); document.write( "The revenue equation can be written in terms of just one variable, a.
\n" ); document.write( "\"10a%2B7%28207-3a%29%2B12a=1498\"
\n" ); document.write( "Solve for a;
\n" ); document.write( "use it to find x and c.\r
\n" ); document.write( "
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\n" ); document.write( "\n" ); document.write( "FURTHER STEPS
\n" ); document.write( "-
\n" ); document.write( "\"10a%2B1449-21a%2B12a=1498\"
\n" ); document.write( "\"a%2B1449=1498\"
\n" ); document.write( "\"a=98-49\"
\n" ); document.write( "\"highlight%28a=49%29\"--------adults
\n" ); document.write( "-
\n" ); document.write( "\"c=2a\"
\n" ); document.write( "\"c=2%2A49\"
\n" ); document.write( "\"highlight%28c=98%29\"-------children
\n" ); document.write( "-
\n" ); document.write( "\"x=207-a-c\"
\n" ); document.write( "\"x=207-49-98\"
\n" ); document.write( "\"highlight%28x=60%29\"---------students
\n" ); document.write( "
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