Let Monique's number of art brushes be m.
Then, since Chelsea has 11 times as many art brushes as Monique, Chelsea has 11m brushes.
Together they have 60 art brushes, so we write the equation:
m+11m=60.
This means that 12m=60, dividing both sides of the equation by 12 we get m=5.
Chelsea has 11m=11*5=55 brushes.
Answer: 55