document.write( "Question 221208: In planning for a school dance, you find that one band will play for $250, plus 50% of the total ticket sales. Another band will play for a flat fee of $550. In order for the first band to produce more profit for the school than the other band, what is the highest price you can charge per ticket, assuming 300 people attend?\r
\n" ); document.write( "\n" ); document.write( "i tried setting it up something like .50(250-x)+250>550 x= the price of tickets
\n" ); document.write( "but I am not getting the correct answer. \n" ); document.write( "

Algebra.Com's Answer #165996 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"t\"$ = price/ticket in dollars to charge
\n" ); document.write( "Let $\"P\"$ = profit for school
\n" ); document.write( "Write 2 equations, 1 for each band
\n" ); document.write( "(1) $\"P+=+300t+-+250+-+300t%2F2\"$
\n" ); document.write( "(1) $\"2P+=+600t+-+500+-+300t\"$
\n" ); document.write( "(1) $\"2P+=+300t+-+500\"$
\n" ); document.write( "(1) $\"P+=+150t+-+250\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"P+=+300t+-+550\"$
\n" ); document.write( "If the profits from the 2 bands were equal,
\n" ); document.write( " $\"150t+-+250+=+300t+-+550\"$
\n" ); document.write( " $\"150t+=+300\"$
\n" ); document.write( " $\"t+=+2\"$
\n" ); document.write( "If the ticket price were $1.99
\n" ); document.write( "(1) $\"P+=+150%2A1.99+-+250\"$
\n" ); document.write( "(1) $\"P+=+298.50+-+250\"$
\n" ); document.write( "(1) $\"P+=+48.50\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"P+=+300%2A1.99+-+550\"$
\n" ); document.write( "(2) $\"P+=+597+-+550\"$
\n" ); document.write( "(2) $\"P+=+47\"$
\n" ); document.write( "1st band is more profitable
\n" ); document.write( "If the ticket price were $2.01
\n" ); document.write( "(1) $\"P+=+150%2A2.01+-+250\"$
\n" ); document.write( "(1) $\"P+=+301.50+-+250\"$
\n" ); document.write( "(1) $\"P+=+51.50\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"P+=+300%2A2.01+-+550\"$
\n" ); document.write( "(2) $\"P+=+603+-+550\"$
\n" ); document.write( "(2) $\"P+=+53\"$
\n" ); document.write( "Band (2) becomes more profitable for the
\n" ); document.write( "school, when the ticket price goes over
\n" ); document.write( "$2.00, so the ticket price has to be
\n" ); document.write( "under $2.00 to make more profit from 1st band\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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