document.write( "Question 521803: the cost of an adult ticket for the school play is 2.00. the cost of a student ticket is 1.50 the total income from the sale of tickets was 550.00. the number of adult tickets sold was 100 less than 3 times the number of student tickets sold. how many of each type of ticket was sold? systems of linear equations\r
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document.write( "i got the equations 2.00x+1.50y=550.0
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document.write( " x=3(times)y-100
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document.write( "im solving for elimination and i dont know what to do with the multiplication \n" );
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Algebra.Com's Answer #346590 by oberobic(2304) ![]() You can put this solution on YOUR website! a = number of adult tickets sold \n" ); document.write( "2a = value of the adult tickets sold \n" ); document.write( "s = number of student tickets sold \n" ); document.write( "1.5s = value of the student tickets sold \n" ); document.write( ". \n" ); document.write( "Total ticket sales was $550. \n" ); document.write( ". \n" ); document.write( "2a + 1.5s = 550 \n" ); document.write( ". \n" ); document.write( "The adult tickets were 100 less than 3 times the number of student tickets. \n" ); document.write( ". \n" ); document.write( "a = 3s -100 \n" ); document.write( ". \n" ); document.write( "Substitute for a. \n" ); document.write( ". \n" ); document.write( "2(3s-100) + 1.5s = 550 \n" ); document.write( ". \n" ); document.write( "6s -200 + 1.5s = 550 \n" ); document.write( ". \n" ); document.write( "7.5s = 750 \n" ); document.write( ". \n" ); document.write( "s = 100 \n" ); document.write( ". \n" ); document.write( "substitute s=100 in the other equation \n" ); document.write( ". \n" ); document.write( "a = 3s-100 \n" ); document.write( ". \n" ); document.write( "a = 3(100)-100 \n" ); document.write( ". \n" ); document.write( "a = 200 \n" ); document.write( ". \n" ); document.write( "Check the value to be sure this is the correct answer. \n" ); document.write( ". \n" ); document.write( "2a = 2*200 = 400 \n" ); document.write( ". \n" ); document.write( "1.5s = 1.5*100 = 150 \n" ); document.write( ". \n" ); document.write( "400 + 150 = 550 \n" ); document.write( ". \n" ); document.write( "Correct. \n" ); document.write( ". \n" ); document.write( "Answer: They sold 200 adult tickets and 100 student tickets. \n" ); document.write( ". \n" ); document.write( "Done. \n" ); document.write( " |