document.write( "Question 289790: Concert tickets cost $25 for the balcony and $40 for the floor. If the total amount collected was $10,000, how many of each tickets were sold? A total of 325 tickets were sold. \n" ); document.write( "
Algebra.Com's Answer #209819 by amnd(23)\"\" \"About 
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Say that f = number of floor tickets sold and b = number of balcony tickets sold.
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\n" ); document.write( "The total amount of tickets sold is 325, which means that b + f = 325
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\n" ); document.write( "The total amount collected is $10000, which means that the amount of tickets sold multiplied by the amount it costs would be 25b + 40f = 10000, which can be simplified by a division of 5 to: 5b + 8f = 2000\r
\n" ); document.write( "\n" ); document.write( "The first equation can be multiplied by five, and the rest is just a matter of simple substitution:\r
\n" ); document.write( "\n" ); document.write( "5b + 8f = 2000 <- second equation
\n" ); document.write( "5b + 5f = 1625 <- first equation
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\n" ); document.write( " 0 + 3f = 375\r
\n" ); document.write( "\n" ); document.write( "Since 3f = 375, f = 125\r
\n" ); document.write( "\n" ); document.write( "The amount of balcony tickets sold (b) can be determined from b + f = 325, which means that b = 325 - f = 325 - 125, and b = 200
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