document.write( "Question 825616: Tickets for the school play sell for $3 for a student and $5 for an adult. one night, 595 people bought tickets. the school took in $1951. How many adult tickets and how many student tickets were sold? \r
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document.write( "I did so far: 3s+5A=595 \n" );
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Algebra.Com's Answer #497447 by Fermat(136)![]() ![]() You can put this solution on YOUR website! Let s be the number of students. \n" ); document.write( "Let a be the number of adults. \n" ); document.write( "Total number of people = s + a = 595.\r \n" ); document.write( "\n" ); document.write( "Tickets for students are $3/student, so revenue from students = 3s dollars. \n" ); document.write( "Tickets for adults are $5/adult, so revenue from adults = 5a dollars. \n" ); document.write( "Total revenue = 3s + 5a = 1951.\r \n" ); document.write( "\n" ); document.write( "Our two equations then are, \n" ); document.write( "s + a = 595 \n" ); document.write( "3s + 5a = 1951 \n" ); document.write( "multiplying the 1st eqn by 3, \n" ); document.write( "3s + 3a = 1785 \n" ); document.write( "3s + 5a = 1951 \n" ); document.write( "subtracting the 1st eqn from the 2nd eqn, \n" ); document.write( "2a = 266 \n" ); document.write( "a = 133 \n" ); document.write( "s = 595 - 133 = 462 \n" ); document.write( "Number of adult tickets sold = 133 \n" ); document.write( "Number of student tickets sold = 466 \n" ); document.write( " |