Solve the Problem $\$ 4.02$ , Before Tax $\$ 5.65$ , Before Tax

question 90

Multiple Choice

Solve the problem.
-Matt bought 3 pounds of oranges and 2 pounds of apples and paid $\$ 4.02$ , before tax. Andy bought 4 pounds of oranges and 3 pounds of apples and paid $\$ 5.65$ , before tax. Use this information to set up a matrix equation of the form $A X = B$ , which can be solved to determine the price per pound for oranges and apples. Solve this matrix equation to find the price per pound of oranges.
Use the fact that for $A = \left[ \begin{array} { l l } 3 & 2 \\ 4 & 3 \end{array} \right] , A ^ { - 1 } = \left[ \begin{array} { r r } 3 & - 2 \\ - 4 & 3 \end{array} \right]$ .

• A) \(\$ 0.72\) per pound
• B) \(\$ 0.74\) per pound
• C) \(\$ 0.79\) per pound
• D) \(\$ 0.76\) per pound

---

Definitions:

Informal Channels

Communication paths that are not officially sanctioned by the organization, often based on personal relationships rather than organizational structure.

Overdue

Pertaining to a payment, obligation, or duty that has not been fulfilled by its due date.

Due Date

The specified day by which a task needs to be completed or a payment needs to be made.

Instrument

A formal legal document that signifies a monetary value or evidences a transaction involving financial rights or property.