document.write( "Question 132002This question is from textbook Algebra 1
\n" ); document.write( ": You are selling tickets for a high school play. Student tickets cost $4 and general admission tickets cost $6. You sell 525 tickets and collect @2876. How many of each type of ticket did you sell? \n" ); document.write( "
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SOLUTION -
\n" ); document.write( " Let number os student tickets sold be x
\n" ); document.write( " and the number of general tickets sold be y\r
\n" ); document.write( "\n" ); document.write( " Total number of tickets= 525
\n" ); document.write( " x+y=525
\n" ); document.write( " x=525-y .....(i)
\n" ); document.write( "
\n" ); document.write( " Cost of one student ticket = $4
\n" ); document.write( " Therefore cost of x tickets= $4*x=4x
\n" ); document.write( " Cost of one general ticket= $6
\n" ); document.write( " Therefore cost of y tickets =$6*y=6y
\n" ); document.write( "
\n" ); document.write( " Total money collected=2876
\n" ); document.write( " 4x+6y=2876
\n" ); document.write( "substituting the value of x from equation (i)we have
\n" ); document.write( " 4(525-y)+6y=2876
\n" ); document.write( " 2100-4y+6y=2876
\n" ); document.write( " 2100+2y=2876
\n" ); document.write( " 2100+2y-2100=2876-2100
\n" ); document.write( " 2y=776
\n" ); document.write( " \"2y%2F2\"=\"776%2F2\"
\n" ); document.write( " y = 388
\n" ); document.write( " substituting the value of y in equation (i) we have\r
\n" ); document.write( "\n" ); document.write( " x=525-y
\n" ); document.write( " x=525-388
\n" ); document.write( " x=137
\n" ); document.write( " therefore number of students tickets sold=137
\n" ); document.write( " and number of general tickets sold=388\r
\n" ); document.write( "\n" ); document.write( "FOR MORE HELP VISIT :www.TakeATuition.com\r
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