Matt Bought 3 Pounds of Oranges and 2 Pounds of Apples

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