document.write( "Question 1014811: stephanie is planning her sweet 16 and wants to have live music and food for everyone who attends. her parents found a dj that will charge them $750 and a caterer who will provide food and drinks for $2.25 per person. if their goal is to keep the average cost per person between $2.75 and $3.25, how many people, p, must attend. \n" ); document.write( "

Algebra.Com's Answer #631189 by robertb(5830) $\"\"$ $\"About$

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The total cost is 750 + 2.25p, where p is the number of people to attend. (Also it is safe to assume that p is positive.)\r
\n" ); document.write( "\n" ); document.write( "The average cost per person is thus $\"%28750%2B2.25p%29%2Fp\"$ , or equivalently $\"750%2Fp+%2B2.25\"$ .\r
\n" ); document.write( "\n" ); document.write( "Hence, $\"2.75+%3C+750%2Fp+%2B2.25+%3C+3.25\"$ as per the restriction on average cost.\r
\n" ); document.write( "\n" ); document.write( "Then $\"0.50+%3C+750%2Fp+%3C+1\"$ after transposing the constant term.\r
\n" ); document.write( "\n" ); document.write( " $\"2+%3E+p%2F750+%3E+1\"$ after inverting the double inequality. (Remember all terms are positive.)\r
\n" ); document.write( "\n" ); document.write( "Thus 1500>p>750 after cross-multiplication.\r
\n" ); document.write( "\n" ); document.write( "Therefore they can have anywhere from 751 to 1499 attendees. \n" ); document.write( "

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