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
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document.write( "# $10 tickets sold
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document.write( "# $20 tickets sold
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document.write( "# $30 tickets sold \n" );
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Algebra.Com's Answer #734634 by ankor@dixie-net.com(22740)![]() ![]() 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 \n" ); document.write( " |