document.write( "Question 700285: The owner of a movie theater was counting the money from one day's ticket sales. He knew that a total of 150 tickets were sold. Adult tickets cost $7.50 each and children's tickets cost $4.75 each. If the total receipts for the day were $891.25, how many of each kind of ticket were sold? \n" ); document.write( "

Algebra.Com's Answer #431769 by mananth(16946) $\"\"$ $\"About$

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x= number of child tickets
\n" ); document.write( "y= number of adult tickets
\n" ); document.write( "Total sold
\n" ); document.write( "1.00 x + 1.00 y = 150.00 .............1
\n" ); document.write( "Total value
\n" ); document.write( "4.75 x + 7.50 y = 891.25 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by -7.50
\n" ); document.write( "Multiply (2) by 1.00
\n" ); document.write( "-7.50 x -7.50 y = -1125.00
\n" ); document.write( "4.75 x + 7.50 y = 891.25
\n" ); document.write( "Add the two equations
\n" ); document.write( "-2.75 x = -233.75
\n" ); document.write( "/ -2.75
\n" ); document.write( "x = 85.00
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "1.00 x + 1.00 y = 150.00
\n" ); document.write( "85.00 + y = 150.00
\n" ); document.write( " y = 150.00 -85.00
\n" ); document.write( " y = 65.00
\n" ); document.write( " y = 65.00
\n" ); document.write( "x= 85 number of child tickets
\n" ); document.write( "y= 65 number of adult tickets
\n" ); document.write( "m.ananth@hotmail.ca
\n" ); document.write( " \n" ); document.write( "

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