Q38. - Algebra 1

Question

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 cost of 1 preferred season ticket = \(100, cost of 1 blue zone tickets = \)80, cost of general admission ticket = $70. Write and evaluate an expression to find the amount of money Kamilah processed.

Step-by-Step Solution

Answer

The total amount of money Kamilah processed is $8950.

Step 1. 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.

 

And

 

Cost of 1 preferred season ticket = $100

Cost of 1 blue zone tickets = $80

Cost of general admission ticket = $70

Step 2. Define the variables.

Consider the number of preferred season tickets be x, the number of blue zone tickets be y and the number of general admission tickets be z.

Assume the total amount of money be C that Kamilah processed.

Step 3. Write the equation.

The equation that represents the total cost of food is given in below.

$C=100x+80y+70z$

Step 4. Solve the equation.

Substitute 15 for x, 45 for y, and 55 for z in the equation $C=100x+80y+70z$.

$\begin{array}{l}C=100x+80y+70z\\ =100\left(15\right)+80\left(45\right)+70\left(55\right)\\ =1500+3600+3850\\ =\$8950\end{array}$

Therefore, the total amount of money is $8950.