document.write( "Question 487943: the school band is raising money. they plan to sell 500 tickets. adult tickets will be $4.50 and student tickets will be 2.50. they need to collect $1650 in ticket sales. How many adult and children tickets do they need to sell.\r
\n" ); document.write( "\n" ); document.write( "I got the correct answer by playing with numbers. (200 adult tickets and 300 student tickets) how do you write an equation to get there?
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Algebra.Com's Answer #333210 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"a\" = number of adult tickets they need to sell
\n" ); document.write( "Let \"s\" = number of student tickets they need to sell
\n" ); document.write( "given:
\n" ); document.write( "(1) \"+a+%2B+s+=+500+\"
\n" ); document.write( "(2) \"+4.5a+%2B+2.5s++=+1650+\"
\n" ); document.write( "----------------------
\n" ); document.write( "From (2),
\n" ); document.write( "(2) \"+45a+%2B+25s+=+16500+\"
\n" ); document.write( "Multiply both sides of (1) by \"25\",
\n" ); document.write( "then subtract (1) from (2)
\n" ); document.write( "(2) \"+45a+%2B+25s++=+16500+\"
\n" ); document.write( "(1) \"+-25a+-+25s+=+-12500+\"
\n" ); document.write( "\"+20a+=+4000+\"
\n" ); document.write( "\"+a+=+200+\"
\n" ); document.write( "and, since
\n" ); document.write( "(1) \"+a+%2B+s+=+500+\"
\n" ); document.write( "(1) \"+s+=+300+\"
\n" ); document.write( "They need to sell 200 adult tickets and
\n" ); document.write( "300 student tickets
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