document.write( "Question 118007: El Segundo High School put on their annual musical. the students sold 650 tickets for a value of $4375. If orchestra seats cost $7.50 and balcony seats cost $3.50, how many of each kind of seats were sold? \n" ); document.write( "

Algebra.Com's Answer #86047 by MathLover1(20850) $\"\"$ $\"About$

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sold $\"S+=650+tickets\"$ \r
\n" ); document.write( "\n" ); document.write( "a value $\"V=4375\"$ }$\r
\n" ); document.write( "\n" ); document.write( "If $\"orchestra+\"$ seats $\"Os=7.50\"$ $\r
\n" ); document.write( "\n" ); document.write( " $\"balcony+\"$ seats $\"Bs=%24+3.50\"$ $\r
\n" ); document.write( "\n" ); document.write( "then:\r
\n" ); document.write( "\n" ); document.write( " $\"650+=+Os%2BBs\"$ ЕЕЕЕЕЕ.(1)
\n" ); document.write( " $\"4375=+Os%287.50%29+%2B+Bs%283.50%29\"$ ЕЕЕЕ(2)
\n" ); document.write( "------------------------------------------------------------------\r
\n" ); document.write( "\n" ); document.write( " $\"Os+=+%28+650+-+Bs%29+\"$ ЕЕЕ..(1)Еsubstitute it into (2)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"4375+=+%28+650+-+Bs%29+%287.50%29%2B+Bs+%283.50%29+\"$ ЕЕЕЕ(2)\r
\n" ); document.write( "\n" ); document.write( " $\"4375+=+%28+650+-+Bs%29+%287.50%29+%2B+Bs+%283.50%29+\"$ ЕЕЕ\r
\n" ); document.write( "\n" ); document.write( " $\"4375+=+%28+650+-+Bs%29+%287.50%29+%2B+Bs+%283.50%29+\"$ ЕЕЕ \r
\n" ); document.write( "\n" ); document.write( " $\"4375+=+4875+%96+%287.50%29Bs%2B+%283.50%29Bs+++\"$ ЕЕЕ \r
\n" ); document.write( "\n" ); document.write( " $\"4375+=+4875+%96+4Bs+\"$ ЕЕЕ \r
\n" ); document.write( "\n" ); document.write( " $\"+4B_s+=+4875+%96+4375\"$ ЕЕЕ divide both sides by $\"4\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+Bs++=+1218.75+%96+1093.75\"$ ЕЕЕ\r
\n" ); document.write( "\n" ); document.write( " $\"+Bs+=+125++\"$ ЕЕticketsЕ....now substitute iy in (1) to solve for $\"O_s\"$
\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( " $\"650+=+Os%2B125+\"$ ЕЕЕЕЕЕ.(1)\r
\n" ); document.write( "\n" ); document.write( " $\"650+-+125+=+Os+\"$ ЕЕЕЕЕЕ\r
\n" ); document.write( "\n" ); document.write( " $\"525++=+Os+\"$ ЕЕЕЕЕЕtickets\r
\n" ); document.write( "\n" ); document.write( "Check a value:\r
\n" ); document.write( "\n" ); document.write( " $\"4375=+525+%287.50%29+%2B+125%283.50%29\"$ ЕЕЕЕ(2)\r
\n" ); document.write( "\n" ); document.write( " $\"4375=+3937.5%2B+437.5\"$ ЕЕЕЕ\r
\n" ); document.write( "\n" ); document.write( " $\"4375=+4375\"$ ЕЕЕЕ
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