Your school has contracted with a professional magician to perform. The school has guaranteed an attendance of at least 1000 people and total tickets sales of at least $4400. The tickets are $4 for students and $6 for non students, of which the magician receives $2.50 and $4.50 respectively. What if the minimum amount of money the magician would receive if there are at least 1000 people in attendance and total ticket sales of $4800?

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To find the minimum amount of money the magician would receive if there are at least 1000 people in attendance and a total ticket sales of $4800, we need to calculate the number of student tickets and non-student tickets sold.

Let's assume the number of student tickets sold is 'x'. Since each student ticket costs $4 and the magician receives $2.50 per ticket, the total amount the magician receives from student tickets is $2.50x.

The number of non-student tickets sold would be '1000 - x' (as the total attendance is guaranteed to be at least 1000). Since each non-student ticket costs $6, and the magician receives $4.50 per ticket, the total amount the magician receives from non-student tickets is $4.50(1000 - x).

The total ticket sales would be equal to the sum of the student and non-student ticket sales:

$4x + $6(1000 - x) = $4800

Simplifying the equation, we have:

$4x + $6000 - $6x = $4800
-$2x = -$1200
x = 600

So, if there are at least 1000 people in attendance and a total ticket sales of $4800, the magician would receive a minimum amount of money equal to:

$2.50(600) + $4.50(1000 - 600) = $1500 + $1800 = $3300.