document.write( "Question 948600: adult tickets to the museum cost 5 dollars while student tickets cost 3 dollars. If 120 tickets were sold for a total of 500 dollars, how many of each were sold \n" ); document.write( "
Algebra.Com's Answer #579026 by macston(5194)![]() ![]() You can put this solution on YOUR website! adult tickets to the museum cost 5 dollars while student tickets cost 3 dollars. If 120 tickets were sold for a total of 500 dollars, how many of each were sold \n" ); document.write( "A=number of adult tickets; S=number of student tickets \n" ); document.write( "A+S=120 Solve this for A and substitute in next equation. \n" ); document.write( "A=120-S \n" ); document.write( "$5A+$3S=$500 \n" ); document.write( "$5(120-S)+$3S=$500 \n" ); document.write( "$600-$5S+$3S=$500 Subtract $500 from each side. \n" ); document.write( "$100-$2S=0 Add $2S to each side. \n" ); document.write( "$100=$2S Divide each side by $2. \n" ); document.write( "50=S There were 50 student tickets sold. \n" ); document.write( "A+S=120 \n" ); document.write( "A+50=120 Subtract 50 from each side. \n" ); document.write( "A=70 ANSWER 2: There were 70 adult tickets sold. \n" ); document.write( "CHECK \n" ); document.write( "$5A+$3S=$500 \n" ); document.write( "$5(70)+$3(50)=$500 \n" ); document.write( "$350+$150=$500 \n" ); document.write( "$500=$500 \n" ); document.write( " \n" ); document.write( " |