Matt Bought 3 Pounds of Oranges and 2 Pounds of Apples

question 14

Multiple Choice

Matt bought 3 pounds of oranges and 2 pounds of apples and paid $\$ 3.94$ , before tax. Andy bought 4 pounds of oranges and 3 pounds of apples and paid $\$ 5.53$ , before tax. Use this information to set up a matrix equation of the form $\mathrm { AX } = \mathrm { B }$ , 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 apples.
Use the fact that for $\mathrm { A } = \left[ \begin{array} { l l } 3 & 2 \\ 4 & 3 \end{array} \right] , \mathrm { A } ^ { - 1 } = \left[ \begin{array} { r r } 3 & - 2 \\ - 4 & 3 \end{array} \right]$ .

• A) $0.83 per pound
• B) $0.74 per pound
• C) $0.80 per pound
• D) $0.87 per pound

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Definitions:

Low-Skill Workers

Individuals with minimal vocational training or qualifications, generally associated with lower-paying jobs.

Cumulative Share

The total percentage or portion of some quantity or number that is accumulated from a series of parts or contributions.

Income

The financial gain received by an individual or entity, often measured as salary, wages, or profits.

Perfect Equality Line

A hypothetical line on a graph representing a situation where everyone has exactly the same income or wealth, demonstrating absolute equality.