document.write( "Question 972890: Tickets for a high school basketball game cost $3 for students and $5 each for parents. If 300 tickets were sold for Thursday’s game and total receipts were $1200, what fraction of tickets were sold to students? \n" ); document.write( "
Algebra.Com's Answer #595126 by macston(5194)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "S=number of student tickets; P=number of parent tickets \n" ); document.write( "S+P=300 \n" ); document.write( "P=300-S \n" ); document.write( ". \n" ); document.write( "$3S+$5P=$1200 Substitute for P \n" ); document.write( "$3S+$5(300-S)=$1200 \n" ); document.write( "$3S+$1500-$5S=$1200 \n" ); document.write( "-$2S=-$300 \n" ); document.write( "S=150 ANSWER 1: There were 150 student tickets sold. \n" ); document.write( "P=300-S=300-150=150 ANSWER 2: 150 parent tickets were sold. \n" ); document.write( "Fractionally, 1/2 of the tickets were student tickets and 1/2 were parent tickets. \n" ); document.write( ". \n" ); document.write( "CHECK: \n" ); document.write( "$3S+$5P=$1200 \n" ); document.write( "$3(150)+$5(150)=$1200 \n" ); document.write( "$450+$750=$1200 \n" ); document.write( "$1200=$1200 \n" ); document.write( " |