document.write( "Question 947503: Stefan's school is selling tickets to the annual dance competition. On the first day of ticket sales the school sold 13 adult tickets and 2 student tickets for a total of $78. The school took in $143 on the second day by selling 13 adult tickets and 7 student tickets. Find the price of an adult ticket and the price of a student ticket. \n" ); document.write( "
Algebra.Com's Answer #578167 by macston(5194)![]() ![]() You can put this solution on YOUR website! A=Adult tickets; S=Student tickets \n" ); document.write( "13A+2S=$78 \n" ); document.write( "13A+7S=$143 Subtract the two equations \n" ); document.write( "-5S=-$65 Divide each side by -5 \n" ); document.write( "S=$13 ANSWER 1: Student tickets cost $13. \n" ); document.write( "Substitute in one of the equations to find A, use the other to check: \n" ); document.write( "13A+2S=$78 \n" ); document.write( "13A+2($13)=$78 \n" ); document.write( "13A+$26=$78 Subtract $26 from each side. \n" ); document.write( "13A=$52 Divide each side by 13 \n" ); document.write( "A=$4 ANSWER 2: Adult tickets cost $4. \n" ); document.write( "CHECK \n" ); document.write( "13A+7S=$143 \n" ); document.write( "13($4)+7($13)=$143 \n" ); document.write( "$52+$91=$143 \n" ); document.write( "$143=$143 \n" ); document.write( " \n" ); document.write( " |