document.write( "Question 927930: The local theater has three types of seats for Broadway plays: main floor, balcony, and mezzanine. Main floor tickets are $43, balcony tickets are $35, and mezzanine are $27. On one particular night the sales totaled $45,839. Main floor sales we 71 more than the total of balcony and mezzanine sales. Balcony seats were 303 more than 3 times mezzanine sales. How many of each type of ticket were sold?
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document.write( "main floor tickets=_______
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document.write( "balcony tickets =_________
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document.write( "mezzanine tickets=________
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Algebra.Com's Answer #563344 by TimothyLamb(4379)![]() ![]() You can put this solution on YOUR website! x = number of tickets main \n" ); document.write( "y = number of tickets balcony \n" ); document.write( "z = number of tickets mezzanine \n" ); document.write( "--- \n" ); document.write( "43x + 35y + 27z = 45839 \n" ); document.write( "x = y + z + 71 \n" ); document.write( "y = 3z + 303 \n" ); document.write( "--- \n" ); document.write( "put the system of linear equations into standard form \n" ); document.write( "--- \n" ); document.write( "43x + 35y + 27z = 45839 \n" ); document.write( "x - y - z = 71 \n" ); document.write( "y - 3z = 303 \n" ); document.write( "--- \n" ); document.write( "copy and paste the above standard form linear equations in to this solver: \n" ); document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php \n" ); document.write( "--- \n" ); document.write( "solution: \n" ); document.write( "x = number of tickets main = 626 \n" ); document.write( "y = number of tickets balcony = 492 \n" ); document.write( "z = number of tickets mezzanine = 63 \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( " |