document.write( "Question 799563: At an entertainment, the price of admission was $65 cents for children and $1.50 for adults. If the total amount received was $95 for a total of 103 tickets, find the number of admissions of each kind. \n" ); document.write( "

Algebra.Com's Answer #482717 by mananth(16946) $\"\"$ $\"About$

You can put this solution on YOUR website!
x= Number of adult tickets
\n" ); document.write( "y= Number of child tickets
\n" ); document.write( "
\n" ); document.write( "1.00 x + 1.00 y = 103.00 .............1
\n" ); document.write( "Total value
\n" ); document.write( "1.50 x 0.65 y = 95.00 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by 0.65
\n" ); document.write( "Multiply (2) by -1.00
\n" ); document.write( "0.65 x 0.65 y = 66.95
\n" ); document.write( "-1.50 x -0.65 y = -95.00
\n" ); document.write( "Add the two equations
\n" ); document.write( "-0.85 x = -28.05
\n" ); document.write( "/ -0.85
\n" ); document.write( "x = 33
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "1.00 x + 1.00 y = 103.00
\n" ); document.write( "33.00 + y = 103.00
\n" ); document.write( " y = 103.00 -33.00
\n" ); document.write( " y = 70.00
\n" ); document.write( " y = 70
\n" ); document.write( "x= 33 Number of adult tickets
\n" ); document.write( "y= 70 Number of child tickets
\n" ); document.write( "m.ananth@hotmail.ca
\n" ); document.write( " \n" ); document.write( "

\n" );