Final answer:
Using the given ratio of 3:5 for blue to yellow marbles and knowing there are 60 yellow marbles, we calculate that there must be 36 blue marbles in the bag.
Step-by-step explanation:
The student asked about the number of blue marbles in a bag given the ratio of blue to yellow marbles and the total number of yellow marbles. To solve this, we can use the ratio of blue to yellow marbles, which is 3:5. If there are 60 yellow marbles, and since the ratio is 3 blue for every 5 yellow, we can set up a proportion to find the number of blue marbles:
Blue/Yellow = 3/5
Blue/60 = 3/5
Now, we solve for Blue:
Blue = (3/5) * 60
Blue = 180/5
Blue = 36
Therefore, there are 36 blue marbles in the bag.