document.write( "Question 281350: the price of the orchestra level tickets were $125. Balcony tickets were $70. A total of 195 tickets were sold for $26650. Determine the number of orchestra level tickets and the number of balcony level tickets sold. \n" ); document.write( "

Algebra.Com's Answer #204373 by oberobic(2304) $\"\"$ $\"About$

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b = number of balcony tickets sold
\n" ); document.write( "o = number of orchestra tickets sold
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\n" ); document.write( "b + o = 195 :: given
\n" ); document.write( "or,
\n" ); document.write( "b = 195 - o and o = 195-b
\n" ); document.write( ".
\n" ); document.write( "125o = value of the orchestra tickets sold
\n" ); document.write( "70b = value of the balcony tickets sold
\n" ); document.write( ".
\n" ); document.write( "125o + 70b = 26650 :: given
\n" ); document.write( ".
\n" ); document.write( "substitute b = 195 - o:
\n" ); document.write( ".
\n" ); document.write( "125o + 70(195 - o) = 26650
\n" ); document.write( "125o + 13650 - 70o = 26650
\n" ); document.write( ",
\n" ); document.write( "collect and simplify
\n" ); document.write( ".
\n" ); document.write( "125o - 70o = 26650 - 13650
\n" ); document.write( "55o = 13000
\n" ); document.write( "o = 236.36
\n" ); document.write( ".
\n" ); document.write( "That is an odd result because it calls for selling a fraction of a ticket, and it calls for selling more than 195 tickets.
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\n" ); document.write( "If ONLY orchestra tickets were sold @ $125 each, then that would be 213.2 tickets, which is more than 195.
\n" ); document.write( ".
\n" ); document.write( "So there appears to be something wrong with your problem statement.
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\n" ); document.write( "Done \n" ); document.write( "

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