document.write( "Question 247577: Band A charges $600 to play for the entire evening.
\n" ); document.write( "Band B charges $350 plus $1.25 for each ticket.\r
\n" ); document.write( "\n" ); document.write( "I have two questions:
\n" ); document.write( "1. How would I write an equation for each band?
\n" ); document.write( "2. How do I find the number of tickets for which the cost of the two bands will be equal? \n" ); document.write( "
Algebra.Com's Answer #180570 by oberobic(2304)\"\" \"About 
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Band A charges $600.
\n" ); document.write( "Total Cost = 600
\n" ); document.write( ".
\n" ); document.write( "Band B charges 350 + $1.25 per person
\n" ); document.write( "Total Cost = 350 + 1.25y
\n" ); document.write( ", where y = number of tickets sold.
\n" ); document.write( ".
\n" ); document.write( "To find when they're equal, simply set Total Cost = Total Cost, which we can model with:
\n" ); document.write( "600 = 350 + 1.25y
\n" ); document.write( "250 = 1.25y
\n" ); document.write( "1.25y = 250
\n" ); document.write( "y = 200
\n" ); document.write( ".
\n" ); document.write( "So their costs are equal when there are exactly 200 people in attendance.
\n" ); document.write( ".
\n" ); document.write( "Remember to check your work!
\n" ); document.write( ".
\n" ); document.write( "350 + 1.25*200 = 350+250 = 600 \n" ); document.write( "
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