Monica has $1 $5 and $10 bills in her wallet that are worth $96. If she had one more $1 bill she would have just as many $1 bills as $5 and $10 bills combined she has 23 bills total how many of each denomination does she have

Let x = # of $1 bill, y = # of $5 bill, z = # of $10 bill, then there're 3 functions you can get:

(1). x + 5y + 10z = 96

(2). x + 1 = y + z

(3). x + y + z = 23

From (1), (2), get 6y + 11z = 97 (4)

From (2), (3), get 2y + 2z = 24 (5)

From (4), (5), get y = 7, z = 5, plug these into (2) get x = 11