A community center offers classes for art and music. The cost for a class at the art center is $50, while the cost for a music class is $70. A total of 30 classes were booked at the center during a particular month, costing $1,800 in total.
Let $x$ represent the number of art classes and $y$ represent the number of music classes booked. You can set up the following system of equations to represent this situation:
$x + y = 30$
$50x + 70y = 1800$
Determine the number of art classes booked by the community center in that month.