document.write( "Question 1119157: A basketball team sells tickets that cost​ $10, $20,​ or, for VIP​ seats,​ $30. The team has sold 3357 tickets overall. It has sold 157 more​ $20 tickets than​ $10 tickets. The total sales are ​$64 comma 64,640. How many tickets of each kind have been​ sold?\r
\n" ); document.write( "\n" ); document.write( "# $10 tickets sold
\n" ); document.write( "# $20 tickets sold
\n" ); document.write( "# $30 tickets sold
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Algebra.Com's Answer #734634 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
let a = no. of $10 ticket
\n" ); document.write( "let b = no. of $20 tickets
\n" ); document.write( "let c = no. $30 tickets
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each statement
\n" ); document.write( ":
\n" ); document.write( "A basketball team sells tickets that cost​ $10, $20,​ or, for VIP​ seats,​ $30.
\n" ); document.write( "The total sales are 64,640.
\n" ); document.write( "10a + 20b + 30c = 64640
\n" ); document.write( "simplify divide by 10
\n" ); document.write( "a + 2b + 3c = 6464
\n" ); document.write( ":
\n" ); document.write( " The team has sold 3357 tickets overall.
\n" ); document.write( "a + b + c = 3357
\n" ); document.write( ":
\n" ); document.write( " It has sold 157 more​ $20 tickets than​ $10 tickets.
\n" ); document.write( "b = a + 157
\n" ); document.write( "-a + b = 157
\n" ); document.write( ":
\n" ); document.write( " How many tickets of each kind have been​ sold?
\n" ); document.write( ":
\n" ); document.write( "We solve this as a matrix using that feature on a ti83 or similar
\n" ); document.write( "a + 2b + 3c = 6464
\n" ); document.write( "a + b + c = 3357
\n" ); document.write( "-a + b + 0 = 157
\n" ); document.write( "enter
\n" ); document.write( "1, 2, 3, 6464
\n" ); document.write( "1, 1, 1, 3357
\n" ); document.write( "-1,1 0 = 157
\n" ); document.write( "Resulting in
\n" ); document.write( "a = 1150
\n" ); document.write( "b = 1307
\n" ); document.write( "c = 900
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