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) You can put this solution on YOUR website! 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 \n" ); document.write( " |