document.write( "Question 1174290: UNFINISHED\r
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document.write( "Mary and Richard worked as a team to solve the following problem.\r
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document.write( " The homecoming dance at Liberty High School happened last Saturday. Many students bought tickets in advance for $5 each. Other students bought tickets at the door for $7 each. In all, 290 students attended the dance and $1790 was the total for all ticket sales. Find out how many students bought tickets in advance and how many bought tickets at the door.\r
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document.write( " Mary decided to use a single variable (x), while Richard decided to use two (x and y). The students defined their variable(s) as shown below.\r
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document.write( " Mary: x = # of tickets purchased at the door\r
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document.write( " 290 � x = # of tickets purchased in advance\r
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document.write( " Richard: x = # of tickets purchased at the door\r
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document.write( " y = # of tickets purchased in advance\r
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document.write( " As a team, help Mary write a single mathematical equation and help Richard write a system of equations to solve the problem. Solve the problem using each student�s method. Use a Guess and Check table if needed. How can you tell that you are correct? \n" );
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Algebra.Com's Answer #799703 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! x and 290-x is the one variable method \n" ); document.write( "5x+7(290-x)=1790 \n" ); document.write( "-2x+2030=1790 \n" ); document.write( "-2x=-240 \n" ); document.write( "x=120 at $5 ($600) advance \n" ); document.write( "290-x=170 at $7 ($1190) at the door \n" ); document.write( "- \n" ); document.write( "x+y=290 \n" ); document.write( "5x+7y=1790 \n" ); document.write( "-5x-5y=-1450 \n" ); document.write( "2x=340 \n" ); document.write( "x=170 at the door or $1190 at the door \n" ); document.write( "y=120 in advance or $600 advance \n" ); document.write( " \n" ); document.write( " |