document.write( "Question 160145: A concert brought in $27,200 on the sale of 4,000 tickets. If the tickets sold for $5 and 8$, how much each was sold? \n" ); document.write( "

Algebra.Com's Answer #118099 by jojo14344(1513) $\"\"$ $\"About$

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\n" ); document.write( "Let $\"x\"$ = $5.00 tickets
\n" ); document.write( " $\"y\"$ = $8.00 tickets
\n" ); document.write( "Then it follows,
\n" ); document.write( " $\"5x%2B8y=27200\"$ ------------------------> eqn 1
\n" ); document.write( "Also,
\n" ); document.write( " $\"x%2By=4000tickets\"$ --------------------> eqn 2
\n" ); document.write( "In eqn 2 we get,
\n" ); document.write( " $\"x=4000-y\"$ ---------------------------> eqn 3
\n" ); document.write( "Susbt. eqn 3 in eqn 1:
\n" ); document.write( " $\"5%284000-y%29%2B8y=27200\"$
\n" ); document.write( " $\"20000-5y%2B8y=27200\"$
\n" ); document.write( " $\"3y=27200-20000=7200\"$
\n" ); document.write( " $\"cross%283%29y%2Fcross%283%29=cross%287200%292400%2Fcross%283%29\"$
\n" ); document.write( " $\"y=2400\"$ , Number of $8.00 tickets
\n" ); document.write( "Via eqn 3;
\n" ); document.write( " $\"x=4000-2400=1600\"$ , Number of $5.00 tickets
\n" ); document.write( "In doubt? go back eqn 1:
\n" ); document.write( " $\"5%2A1600%2B8%2A2400=27200\"$
\n" ); document.write( " $\"8000%2B19200=27200\"$
\n" ); document.write( " $\"27200=27200\"$
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo \n" ); document.write( "

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