Chapter 1.2, Problem 38PPS

To determine

To find: The expression for the amount of money Kamilah processed and evaluate its value.

Answer to Problem 38PPS

The amount of money Kamilah processed is $\$8950$ .

Explanation of Solution

Given information:

Kamilah works at the Duke University Athletic Ticket Office. One week she sold $15$ preferred season tickets, $45$ blue zone tickets, and $55$ general admission tickets. The price for each ticket is shown below.

Duke University FootballTicket Prices
Preferred Season Ticket	$100
Blue Zone	$80
General Admission	$70

Calculation:

Let the number of preferred season tickets sold are $x$ , the number of Blue zone tickets sold are $y$ , and the number of General Admission tickets sold are $z$ . The price of Preferred season ticket, blue zone ticket and General Admission ticket are $\$100$ , $\$80$ and, $\$70$ respectively.

So, the expression for the amount of money is $100x+80y+70z$ .

In one week, she sold $15$ preferred season tickets, $45$ blue zone tickets, and $55$ general admission tickets.

Substitute $15$ for $x$ , $45$ for $y$ and $55$ for $z$ in the expression.

  $\begin{array}{c}100x+80y+70z=\$100\times 15+\$80\times 45+\$70\times 55\\ =\$1500+\$3600+\$3850\\ =\$8950\end{array}$

Therefore, the amount of money Kamilah processed is $\$8950$ .