Connor has back marbles. He counts out 10 marbles and find that there are three blue marbles among them is the bag has 600 marbles predict how many will be blue.

Assuming the ratio of blue marbles in the bag is consistent, we can set up a proportion:

3 blue marbles out of 10 total marbles = x blue marbles out of 600 total marbles

(3/10) = x/600

Cross multiplying:

10x = 3 * 600
10x = 1800
x = 180

Therefore, there will be 180 blue marbles in the bag.