Matt Bought 3 Pounds of Oranges and 2 Pounds of Apples

question 405

Multiple Choice

Matt bought 3 pounds of oranges and 2 pounds of apples and paid $\$ 4.14$ , before tax. Andy bought 4 pounds of oranges and 3 pounds of apples and paid $\$ 5.83$ , 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 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) $0.76 per pound
• C) $0.79 per pound
• D) $0.74 per pound

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Definitions:

Minimum Wage

The lowest legal hourly pay workers can receive, set by government law to protect workers from unduly low compensation.

Economic Analysis

The systematic approach to determining the optimum use of scarce resources, involving comparison of two or more alternatives in achieving a specific objective under the given assumptions and constraints.

Training Opportunities

Programs and courses available to individuals seeking to acquire new skills or improve existing ones for professional development.

Poverty Level

The minimum level of income deemed necessary to achieve an adequate standard of living in a given country.