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)\"\" \"About 
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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
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