Final answer:
There were 85 blue marbles in the bag when the ratio of blue to green marbles was 17 to 5 and the total marbles amounted to 110.
Step-by-step explanation:
The ratio of blue marbles to green marbles was 17 to 5, and if there were 110 marbles in the bag, to find out how many were blue marbles, we first calculate the total parts in the ratio. The total parts would be 17 (blue) + 5 (green) = 22 parts. Since there are 110 marbles in total, each part equals 110 marbles ÷ 22 parts = 5 marbles per part. Therefore, the number of blue marbles is 17 parts × 5 marbles per part = 85 blue marbles.