Solve the Problem by Writing and Solving a Suitable System $\$ 360$

Multiple Choice

Solve the problem by writing and solving a suitable system of equations.
-A store sells televisions for $\$ 360$ and video cassette recorders for $\$ 270$ . At the beginning of the week its entire stock is worth $\$ 51,570$ . During the week it sells three quarters of the televisions and one third of the video cassette recorders for a total of $\$ 31,590$ . How many televisions and video cassette recorders did it have in its stock at the beginning of the week?

A) 94 televisions; 69 video cassette recorders
B) 95 televisions; 66 video cassette recorders
C) 96 televisions; 63 video cassette recorders
D) 93 televisions; 67 video cassette recorders