document.write( "Question 604125: Mitchell paid $94 for ten tickets to the concert. Adult tickets cost $15 each. Students tickets cost $8 each. How many of each kind of tickets did he buy? \n" ); document.write( "

Algebra.Com's Answer #380998 by mananth(16949) $\"\"$ $\"About$

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x Number of adult tickets
\n" ); document.write( "y Number of student tickets
\n" ); document.write( "Total attended
\n" ); document.write( "7 x + 10 y = 10 .............1
\n" ); document.write( "
\n" ); document.write( "15 x + 8 y = 94 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by -4
\n" ); document.write( "Multiply (2) by 5
\n" ); document.write( "-26 x -40 y = -40
\n" ); document.write( "75 x + 40 y = 470
\n" ); document.write( "Add the two equations
\n" ); document.write( "49 x = 430
\n" ); document.write( "/ 49
\n" ); document.write( "x = 9
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "7 x + 10 y = 10
\n" ); document.write( "57 + 10 y = 10
\n" ); document.write( " 10 y = 10 -57
\n" ); document.write( " 10 y = -47
\n" ); document.write( " y = -5
\n" ); document.write( "$ 9 Number of adult tickets
\n" ); document.write( "$ -5 Number of student tickets
\n" ); document.write( "m.ananth@hotmail.ca
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