document.write( "Question 1112644: If 136 people attend a concert and tickets for adults cost $4 while tickets for children cost $3.25 and total receipts for the concert was $487.75, how many of each went to the concert? \n" ); document.write( "

Algebra.Com's Answer #727690 by mananth(16946) $\"\"$ $\"About$

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\n" ); document.write( "Adult tickets x Numbers
\n" ); document.write( "children tickets y Numbers
\n" ); document.write( "Equation for tickets total distance
\n" ); document.write( "
\n" ); document.write( " x + y = 136 .............1
\n" ); document.write( "
\n" ); document.write( "Equation for amount spent
\n" ); document.write( "4 x + 3.25 y = 487.75 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by -3.25
\n" ); document.write( "Multiply (2) by 1
\n" ); document.write( "-3.25 x -3.25 y = -442.00
\n" ); document.write( "4.00 3.25 y = 487.75
\n" ); document.write( "Add the two equations
\n" ); document.write( "0.75 x = 45.75
\n" ); document.write( "/ 0.75
\n" ); document.write( "x = 61.00
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "1.00 x + y = 136.00
\n" ); document.write( "61.00 + y = 136.00
\n" ); document.write( " y = 75.00
\n" ); document.write( " y= 75.00
\n" ); document.write( "
\n" ); document.write( "Adult tickets 61 Numbers
\n" ); document.write( "children tickets 75 Numbers
\n" ); document.write( " \n" ); document.write( "

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