We are told that for the recycling drive, there is a 2:5 ratio. It means that for every two glass bottles collected, they collected five plastic bottles. That means that seven (taking two glass bottles and adding five plastic bottles) of *both* kinds were collected. So we can say that the ratio of glass bottles to all bottles is 2:7.
That 2:7 ratio is what we use. We make a proportion with that 2:7 ratio on the left, the totals on the right, the amount of glass bottles on the top, the amount of all kinds of bottles on the bottle.
We could fill in the 2, 7, and the total. We don't know the amount of glass bottles. Let that be B.
To find B, we cross multiply and solve for B.
7B = 952 cross multiplying 7 and B, 2 and 476
B = 136 divide both sides by 7
Thus there 136 glass bottles - - choice B - - collected.