Solve the Problem by Writing and Solving a Suitable System $X$

Multiple Choice

Solve the problem by writing and solving a suitable system of equations.
-Barges from ports $X$ and $Y$ went to cities $A$ and $B$ . $X$ sent 30 barges and $Y$ sent 8 . City A needs 21 barges and B needs 17. Shipping costs $\$ 220$ from $X$ to $A, \$ 300$ from $X$ to $B, \$ 400$ from $Y$ to $A$ , and $\$ 180$ from $Y$ to B. $\$ 8760$ was spent. How many barges went where?

A)
B)
C)
D)