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:

Miscariages

The spontaneous loss of a pregnancy before the fetus is able to survive independently, typically before 20 weeks of gestation.

Unprotected Intercourse

Sexual activity without the use of contraceptives or protective measures, increasing the risk of sexually transmitted infections and unintended pregnancies.

Constrained

Restricted or limited in one's actions, freedoms, or capabilities.

Self-assured

Characterized by confidence and certainty in one's abilities or qualities, often leading to resilience and assertiveness.