The number of blue beads taken out = The number of red beads added

This means the number of beads in the bag didn’t change. 

176 ÷ 11 = 16 

1/9 = 16 beads

2/9 = 32 beads

176 ÷ 4 = 44 

1/4 = 44

Number of blue beads taken out = 44 – 32 

                                                           = 12

12 blue beads were taken out of the bag.