document.write( "Question 50491: Travel agency offers 2 ticket packages to see the Oilers play in the 2020 super bowl. Package one is 50 yd line seats for $1000.00each, package 2 is bleacher seats for $600.00 each. If you bought 13 tickets and paid $10,600.00, how many of each package did you buy? \n" ); document.write( "
Algebra.Com's Answer #33570 by tutorcecilia(2152)\"\" \"About 
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Travel agency offers 2 ticket packages to see the Oilers play in the 2020 super bowl. Package one is 50 yd line seats for $1000.00each, package 2 is bleacher seats for $600.00 each. If you bought 13 tickets and paid $10,600.00, how many of each package did you buy?
\n" ); document.write( "This is a linear equation so use the standard form of a line:
\n" ); document.write( "Ax+By=C
\n" ); document.write( "A=the rate ($1,000)
\n" ); document.write( "x=the amount of A
\n" ); document.write( "B=the rate ($600)
\n" ); document.write( "y=the amount of B which is (total tickets (13) - amount of A tickets (x)
\n" ); document.write( "C=(rate)(total amount of all tickets) = $10,600.00
\n" ); document.write( ".\r
\n" ); document.write( "\n" ); document.write( "(1000)(x)+(600)(13-x)=10,6000 [Solve for x]
\n" ); document.write( "1000x+7800-600x=10,6000
\n" ); document.write( "400x+7800=10,6000
\n" ); document.write( "400x=2800
\n" ); document.write( "x=7 Fifty-yard line packages sold\r
\n" ); document.write( "\n" ); document.write( ".
\n" ); document.write( "13-7=6 bleacher seat packages sold\r
\n" ); document.write( "\n" ); document.write( ".
\n" ); document.write( "Check by plugging in all of the values back into the original equation.
\n" ); document.write( "(1000)(7)+(600)(13-7)=10,6000
\n" ); document.write( "10,600=10,600 [Checks out]
\n" ); document.write( ".\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
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