document.write( "Question 1150111: An investor buys a total of 360 tickets for CONCERT. The price of adult ticket is $35, while the price for children's ticket is $45. The investor spends a total of $15000. How many tickets for adult and for children did he buy? \n" ); document.write( "
Algebra.Com's Answer #771471 by VFBundy(438)\"\" \"About 
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# of Adult tickets = A
\n" ); document.write( "# of Children's tickets = C
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\n" ); document.write( "Set up two equations:
\n" ); document.write( "
\n" ); document.write( "A + C = 360
\n" ); document.write( "35A + 45C = 15000
\n" ); document.write( "
\n" ); document.write( "Multiply the first equation by -45:
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\n" ); document.write( "-45(A + C) = -45(360)
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\n" ); document.write( "-45A - 45C = -16200
\n" ); document.write( "
\n" ); document.write( "Here are your two equations again:
\n" ); document.write( "
\n" ); document.write( "-45A - 45C = -16200
\n" ); document.write( "35A + 45C = 15000
\n" ); document.write( "
\n" ); document.write( "Add the equations together:
\n" ); document.write( "
\n" ); document.write( "-10A = -1200
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\n" ); document.write( "Solve for A:
\n" ); document.write( "
\n" ); document.write( "A = 120
\n" ); document.write( "
\n" ); document.write( "Go back to the original equations we set up. The first one is:
\n" ); document.write( "
\n" ); document.write( "A + C = 360
\n" ); document.write( "
\n" ); document.write( "Plug in A = 120:
\n" ); document.write( "
\n" ); document.write( "120 + C = 360
\n" ); document.write( "
\n" ); document.write( "Solve for C:
\n" ); document.write( "
\n" ); document.write( "C = 240
\n" ); document.write( "
\n" ); document.write( "# of Adult tickets = A = 120
\n" ); document.write( "# of Children's tickets = C = 240
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