document.write( "Question 949677: Creating a linear system for the following. The drama club sold tickets for a play. They made $280 in total and sold 110 tickets. They charged $2 for students and $4 for guests. How many students and how many guests attended the play \n" ); document.write( "
Algebra.Com's Answer #579866 by macston(5194) You can put this solution on YOUR website! STEP 1: SYSTEM OF EQUATIONS \n" ); document.write( "S=number of student tickets; G=number of guest tickets \n" ); document.write( "S+G=110 \n" ); document.write( "S=110-G \n" ); document.write( "$2S+$4G=$280 \n" ); document.write( "STEP 2: SOLUTION \n" ); document.write( "$2S+$4G=$280 Substitute for S \n" ); document.write( "$2(110-G)+$4G=$280 \n" ); document.write( "$220-$2G+$4G=$280 Subtract $220 from each side. \n" ); document.write( "$2G=$60 Divide each side by $2 \n" ); document.write( "G=30 ANSWER: 30 Guest tickets were sold. \n" ); document.write( "S=110-G=110-30=80 ANSWER 2: 80 student tickets were sold \n" ); document.write( "CHECK: \n" ); document.write( "$2(80)+$4(30)=$280 \n" ); document.write( "$160+$120=$280 \n" ); document.write( "$280=$280 \n" ); document.write( " \n" ); document.write( " |