document.write( "Question 125401: Theater tickets are $8 for general admission (GA) and $5 for students (STD).
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document.write( "During one evening 240 tickets were sold, and the receipts were $1680.
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document.write( "How many of each type of ticket was sold?
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document.write( "HELP!!!!!! \n" );
document.write( "
Algebra.Com's Answer #92007 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Theater tickets are $8 for general admission (GA) and $5 for students (STD). \n" ); document.write( "During one evening 240 tickets were sold, and the receipts were $1680. \n" ); document.write( "How many of each type of ticket was sold? \n" ); document.write( ": \n" ); document.write( "Let x = no. of GA tickets \n" ); document.write( "Let y = no. of STD tickets \n" ); document.write( ": \n" ); document.write( "Translate these two statements to equations: \n" ); document.write( ": \n" ); document.write( "During one evening 240 tickets were sold,\" \n" ); document.write( "x + y = 240 \n" ); document.write( "or \n" ); document.write( "y = (240 - x); we can use this for substituting below \n" ); document.write( ": \n" ); document.write( "\"tickets are $8 for general admission (GA) and $5 for students (STD).... \n" ); document.write( "the receipts were $1680.\" \n" ); document.write( " 8x + 5y = 1680 \n" ); document.write( ": \n" ); document.write( "How many of each type of ticket was sold? \n" ); document.write( "; \n" ); document.write( "Substitute (240-x) for y in the above equation, find x: \n" ); document.write( "8x + 5(240-x) = 1680 \n" ); document.write( ": \n" ); document.write( "8x + 1200 - 5x = 1680; multiplied what's inside the brackets \n" ); document.write( ": \n" ); document.write( "8x - 5x = 1680 - 1200 \n" ); document.write( ": \n" ); document.write( "3x = 480 \n" ); document.write( "x = \n" ); document.write( "x = 160 Ga tickets \n" ); document.write( ": \n" ); document.write( "Find y: \n" ); document.write( "y = 240 - x \n" ); document.write( "y = 240 - 160 \n" ); document.write( "y = 80 STD tickets \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution in the receipt$ equation \n" ); document.write( "8(160) + 5(80) = \n" ); document.write( "1280 + 400 = 1680 \n" ); document.write( ": \n" ); document.write( "Did I make this understandable? Think you can do these type of equations now?\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |