document.write( "Question 409645: Your school sold 456 tickets for a high school play. An adult ticket cost $3.50. A student ticket cost $1. Total ticket sales equaled $1131. Let a equal the number of adult tickets sold, and let s equal the number of student tickets sold. A. Write a system of equation that relates the number of adult and student tickets sold to the total number of tickets sold and to the total ticket sales. B. Solve by elimination to find the number of each type of ticket sold. \n" ); document.write( "
Algebra.Com's Answer #288283 by josmiceli(19441)\"\" \"About 
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Let \"a\" equal the number of adult tickets sold
\n" ); document.write( " Let \"s\" equal the number of student tickets sold
\n" ); document.write( "given:
\n" ); document.write( "(1) \"a+%2B+s+=+456\"
\n" ); document.write( "(2) \"350a+%2B+100s+=+113100\" (in cents)
\n" ); document.write( "-----------------------------
\n" ); document.write( "Multiply both sides of (1) by \"100%7D%0D%0Aand+subtract+%281%29+from+%282%29%0D%0A%282%29+%7B%7B%7B350a+%2B+100s+=+113100\"
\n" ); document.write( "(1) \"-100a+-+100s+=+-45600\"
\n" ); document.write( "\"250a+=+67500\"
\n" ); document.write( "\"a+=+270\"
\n" ); document.write( "and, from (1),
\n" ); document.write( "(1) \"a+%2B+s+=+456\"
\n" ); document.write( "\"s+=+456+-+270\"
\n" ); document.write( "\"s+=+186\"
\n" ); document.write( "270 adult and 186 student tickets were sold
\n" ); document.write( "check answer:
\n" ); document.write( "(2) \"350a+%2B+100s+=+113100\"
\n" ); document.write( "(2) \"350%2A270+%2B+100%2A186+=+113100\"
\n" ); document.write( "\"94500+%2B+18600+=+113100\"
\n" ); document.write( "\"113100+=+113100\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );