document.write( "Question 551357: At a spring concert, tickets for adults cost $4.00 and tickets for students cost $2.50. How many of each kind of tickets were purchased if 125 tickets were bought for $413.00? \n" ); document.write( "

Algebra.Com's Answer #359669 by mananth(16946) $\"\"$ $\"About$

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Adult ticket x numbers
\n" ); document.write( "child ticket y numbers
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\n" ); document.write( "1 x + 1 y = 125 .............1
\n" ); document.write( "4 x + 2.5 y = 413 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by -2.5
\n" ); document.write( "Multiply (2) by 1
\n" ); document.write( "-2.5 x -2.5 y = -312.5
\n" ); document.write( "4 x 2.5 y = 413
\n" ); document.write( "Add the two equations
\n" ); document.write( "1.5 x = 100.5
\n" ); document.write( "/ 1.5
\n" ); document.write( "x = 67
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "1 x + 1 y = 125
\n" ); document.write( "67 + 1 y = 125
\n" ); document.write( " 1 y = 125 -67
\n" ); document.write( " 1 y = 58
\n" ); document.write( " y = 58
\n" ); document.write( "Adult ticket 67 numbers
\n" ); document.write( "child ticket 58 numbers
\n" ); document.write( "m.ananth@hotmail.ca
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