document.write( "Question 719463: A ticket booth sold 371 tickets and collected $1626.50 in ticket sales. Adult tickets are $5.50 and child tickets are $2.50. How many tickets of each type were sold? \n" ); document.write( "

Algebra.Com's Answer #441358 by mananth(16946) $\"\"$ $\"About$

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x= number adult tickets
\n" ); document.write( "y= number child tickets
\n" ); document.write( "
\n" ); document.write( "1 x + 1 y = 371 .............1
\n" ); document.write( "Total value
\n" ); document.write( "5.50 x + 2.50 y = 1,626.50 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by -2.50
\n" ); document.write( "Multiply (2) by 1.00
\n" ); document.write( "-2.50 x -2.50 y = -927.50
\n" ); document.write( "5.50 x + 2.50 y = 1,626.50
\n" ); document.write( "Add the two equations
\n" ); document.write( "3.00 x = 699.00
\n" ); document.write( "/ 3.00
\n" ); document.write( "x = 233.00
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "1.00 x + 1.00 y = 371.00
\n" ); document.write( "233.00 + y = 371.00
\n" ); document.write( " y = 371.00 -233
\n" ); document.write( " y = 138.00
\n" ); document.write( " y = 138.00
\n" ); document.write( "x= 233 adult tickets
\n" ); document.write( "y= 138 child tickets
\n" ); document.write( "m.ananth@hotmail.ca
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