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
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #671290 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
x child tickets
\n" ); document.write( "y adult tickets
\n" ); document.write( "z senior tickets\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"system%28x%2By%2Bz=992%2C11x%2B14y%2B8z=11680%2C%28x%2By%29-2z=287%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "You might want to try to first eliminate z, simplify the system to linear equations in x and y; and continue onward to finish. Alternatively, you could use other standard matrix row reductions or choose substitution method.
\n" ); document.write( "
\n" );