document.write( "Question 951687: there were 405 tickets sold. cardholders tickets are $1.25 and non-cardholders tickets are $2.50. total amount collected was $713.75. how many of each kind were sold? \n" ); document.write( "
Algebra.Com's Answer #581232 by macston(5194)\"\" \"About 
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c=cardholders tickets; n=non-cardholders tickets
\n" ); document.write( "c+n=405
\n" ); document.write( "c=405-n
\n" ); document.write( "$1.25(c)+$2.50(n)=$713.75 Substitute for c.
\n" ); document.write( "$1.25(405-n)+$2.50(n)=$713.75
\n" ); document.write( "$506.25-$1.25(n)+$2.50(n)=$713.75 Subtract $506.25 from each side.
\n" ); document.write( "$1.25(n)=$207.50 Divide each side by $1.25.
\n" ); document.write( "n=166 ANSWER 1:There were 166 non-cardholder tickets sold
\n" ); document.write( "c=405-n=405-166=239 ANSWER 2: There were 239 cardholder tickets sold.
\n" ); document.write( "CHECK:
\n" ); document.write( "$1.25(c)+$2.50(n)=$713.75
\n" ); document.write( "$1.25(239)+$2.50(166)=$713.75
\n" ); document.write( "$298.75+$415.00=$713.75
\n" ); document.write( "$713.75=$713.75
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