A
B
C
D
Explanation
Correct answer: A.
Choice A is correct. Multiplying the number of marbles in the bag by the probability of selecting a blue marble gives the number of blue marbles in the bag. Since the bag contains a total of marbles and the probability that a blue marble will be selected from the bag is , there are a total of blue marbles in the bag.
Desmos solution:
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice B
Choice B is incorrect and may result from subtracting from .
Choice C
Choice C is incorrect. This would be the number of blue marbles in the bag if there were a total of marbles, not marbles.
Choice D
Choice D is incorrect. This is the number of marbles in the bag that aren't blue.