document.write( "Question 831832: Tickets for a Brittany Spears concert sold for $80 for floor seats and $60 for balcony seats. For one performance, 4,000 tickets were sold, bringing in $288,800. How many of each ticket were sold? \n" ); document.write( "
Algebra.Com's Answer #501672 by TimothyLamb(4379)![]() ![]() You can put this solution on YOUR website! --- \n" ); document.write( "60x + 80y = 288800 \n" ); document.write( "x + y = 4000 \n" ); document.write( "--- \n" ); document.write( "copy and paste the above linear system in standard form into this matrix-method solver: \n" ); document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php \n" ); document.write( "--- \n" ); document.write( "solution by matrix method: \n" ); document.write( "x = balcony = 1560 \n" ); document.write( "y = floor = 2440 \n" ); document.write( "--- \n" ); document.write( "now by substitution: \n" ); document.write( "--- \n" ); document.write( "60x + 80y = 288800 \n" ); document.write( "x + y = 4000 \n" ); document.write( "--- \n" ); document.write( "60x + 80y = 288800 \n" ); document.write( "y = 4000 - x \n" ); document.write( "--- \n" ); document.write( "60x + 80(4000 - x) = 288800 \n" ); document.write( "60x + 80*4000 - 80x = 288800 \n" ); document.write( "-20x = -31200 \n" ); document.write( "x = -31200/-20 \n" ); document.write( "x = 1560 \n" ); document.write( "y = 4000 - 1560 \n" ); document.write( "y = 2440 \n" ); document.write( "--- \n" ); document.write( "solution by substitution method: \n" ); document.write( "x = balcony = 1560 \n" ); document.write( "y = floor = 2440 \n" ); document.write( "--- \n" ); document.write( "Solve and graph linear equations: \n" ); document.write( "https://sooeet.com/math/linear-equation-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve quadratic equations, quadratic formula: \n" ); document.write( "https://sooeet.com/math/quadratic-formula-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve systems of linear equations up to 6-equations 6-variables: \n" ); document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php \n" ); document.write( " |