SOLUTION: 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

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.
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
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.)
The average cost per person is thus , or equivalently .
Hence, as per the restriction on average cost.
Then after transposing the constant term.
after inverting the double inequality. (Remember all terms are positive.)
Thus 1500>p>750 after cross-multiplication.
Therefore they can have anywhere from 751 to 1499 attendees.
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