document.write( "Question 1176246: Your family is planning a birthday party for you and is getting it catered . hamiltons catering charges $15 per person and Turaskys catering charges an initial fee of $50 and charges $10 per person .at what number of people is Hamilton’s catering the cheaper option? Show all work \n" ); document.write( "

Algebra.Com's Answer #802703 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "Let x = # of persons.\r\n" );
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document.write( "The formula for Hamilton's cost is  15x  dollars.\r\n" );
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document.write( "The formula for Turaskis' cost is  50 + 10x  dollars.\r\n" );
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document.write( "Hamilton is cheaper if and only if\r\n" );
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document.write( "    15x < 50 + 10x\r\n" );
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document.write( "Simplify and solve\r\n" );
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document.write( "    15x - 10x < 50\r\n" );
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document.write( "       5x     < 50\r\n" );
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document.write( "        x     < 50/5 = 10.\r\n" );
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document.write( "Answer.  Hamilton is cheaper than Turaskis if and only if  the number of peop[le is LESS than 10.\r\n" );
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