Question

Part A

Answer 1

The augmented matrix for the system is:

$\left[\begin{array}{cccc}3&1&1&43.75\\1&3&2&27.75\\2&2&1&34\end{array}\right]$

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For our system, we suppose that x is the number of tickets, y is the number of drinks and z is the number of bags of popcorn.

Devin bought three tickets, one drink, and one bag of popcorn for $43.75.

This means that:

$3x + y + z = 43.75$

Neil bought one ticket, three drinks, and two bags of popcorn for $27.75.

This means that:

$x + 3y + 2z = 27.75$

Jung bought two tickets, two drinks, and one bag of popcorn for $34.

This means that:

$2x + 2y + z = 34$

The system is:

$3x + y + z = 43.75$

$x + 3y + 2z = 27.75$

$2x + 2y + z = 34$

Which is represented by the following augmented matrix:

$\left[\begin{array}{cccc}3&1&1&43.75\\1&3&2&27.75\\2&2&1&34\end{array}\right]$

A similar problem is given at brainly.com/question/13266649