Suppose you need to spend a total of $18,860 per day for your exotic cat sanctuary (consisting of tigers, lions, and black panthers). Each tiger requires 30 lbs of food and $100 of care per day. Each lion requires 20 lbs of food and $80 of care per day. Each black panther requires 25 lbs of food and $60 worth of vibranium (care) each day. If you have a total of 220 cats and require 5330 lbs of food, how many of each type of cat do you have on your sanctuary? Please show all your equations, and the matrix you used to solve this.
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