document.write( "Question 84789: Hello! I'm stumped on this question, could you please help?\r
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\n" ); document.write( "At a movie theater the cashier sold 250 more adult tickets than children's tickets. The adult's tickets were $6.00 each and the children's tickets were $3.50 each. What is the least number of each type of ticket that the cashier had to sell for the total receipts to be ATLEAST $2,750?
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Algebra.Com's Answer #61076 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "At a movie theater the cashier sold 250 more adult tickets than children's\r\n" );
document.write( "tickets. The adult's tickets were $6.00 each and the children's tickets were\r\n" );
document.write( "$3.50 each. What is the least number of each type of ticket that the cashier\r\n" );
document.write( "had to sell for the total receipts to be ATLEAST $2,750?\r\n" );
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document.write( "Let x = the number of children's tickets.\r\n" );
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document.write( ">>..the cashier sold 250 more adult tickets than children's tickets..<<\r\n" );
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document.write( "So the number of adult tickets was x + 250\r\n" );
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document.write( ">>..the children's tickets were $3.50 each..<<\r\n" );
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document.write( "So the receipts taken in from the x children's tickets was $3.50x\r\n" );
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document.write( ">>..The adult's tickets were $6.00 each..<<\r\n" );
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document.write( "So the receipts taken in from the x+250 adults' tickets was 6.00(x+250)\r\n" );
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document.write( "So the total receipts taken in from both was 3.50x + 6.00(x+250)\r\n" );
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document.write( ">>.. for the total receipts to be ATLEAST $2,750..<<\r\n" );
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document.write( "So we set 3.50x + 6.00(x+250) greater than or equal to 2750\r\n" );
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document.write( "      3.50x + 6.00(x+250) > 2750\r\n" );
document.write( "      3.50 + 6.00x + 1500 > 2750\r\n" );
document.write( "             9.50x + 1500 > 2750\r\n" );
document.write( "                    9.50x > 1250\r\n" );
document.write( "                        x > 1250/9.50\r\n" );
document.write( "                        x > 131.5789474\r\n" );
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document.write( "So the least number of children's tickets was 132, and since\r\n" );
document.write( "the number of adult tickets was x + 250, the least number of\r\n" );
document.write( "adult tickets was 132+250 = 382.\r\n" );
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document.write( "Answer: at least 132 children's tickets and at least 382\r\n" );
document.write( "adult's tickets.\r\n" );
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document.write( "Edwin
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