document.write( "Question 539596: There are 155 people at the basketball game. Tickets for the game are $2.50 for students and $4 for adults. If the total money received for admission was $492.50, how many students and adults attended the game? \n" ); document.write( "

Algebra.Com's Answer #353472 by mananth(16946) $\"\"$ $\"About$

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Adults x numbers , Price = $4.00
\n" ); document.write( "children y numbers , Price = $2.50
\n" ); document.write( " Total 13000
\n" ); document.write( "1 x + 1 y = 155 .............1
\n" ); document.write( "4 x + 2.5 y = 492.5 .............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 = -387.5
\n" ); document.write( "4 x + 2.5 y = 492.5
\n" ); document.write( "Add the two equations
\n" ); document.write( "1.5 x = 105
\n" ); document.write( "/ 1.5
\n" ); document.write( "x = 70
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "1 x + 1 y = 155
\n" ); document.write( "70 + 1 y = 155
\n" ); document.write( " 1 y = 155 -70
\n" ); document.write( " 1 y = 85
\n" ); document.write( " y = 85
\n" ); document.write( "Adults ----70
\n" ); document.write( "children --- 85
\n" ); document.write( "m.ananth@hotmail.ca
\n" ); document.write( " \n" ); document.write( "

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