document.write( "Question 480341: There were 359 tickets sold for a basketball game. The activity cardholder's ticket cost $1.25 and the non-cardholder's ticket cost $2.25. Total amount of money collected was $709.75. How many of each kind of tickets were sold? \n" ); document.write( "

Algebra.Com's Answer #328980 by mananth(16946) $\"\"$ $\"About$

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Activity card holders x numbers
\n" ); document.write( "Non activity card holders y numbers
\n" ); document.write( "
\n" ); document.write( "1 x + 1 y = 359 .............1
\n" ); document.write( "1.25 x + 2.25 y = 709.75 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by 2.25
\n" ); document.write( "Multiply (2) by -1
\n" ); document.write( "2.25 x + 2.25 y = 807.75
\n" ); document.write( "-1.25 x + -2.25 y = -709.75
\n" ); document.write( "Add the two equations
\n" ); document.write( "1 x = 98
\n" ); document.write( "/ 1
\n" ); document.write( "x = 98.00
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "1 x + 1 y = 359
\n" ); document.write( "98 + 1 y = 359
\n" ); document.write( " 1 y = 359 -98
\n" ); document.write( " 1 y = 261
\n" ); document.write( " y = 261
\n" ); document.write( "Activity card holders 98 numbers
\n" ); document.write( "Non activity card holders 261 numbers
\n" ); document.write( "m.ananth@hotmail.ca
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