SAT Question 30db8f77: Probability And Conditional Probability answer and explanation with Desmos solution

Math - Probability And Conditional Probability - Reverse Probability Find Count
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At a conference, there are a total of attendees. Each attendee is assigned to either group A, group B, or group C. If one of these attendees is selected at random, the probability of selecting an attendee who is assigned to group A is and the probability of selecting an attendee who is assigned to group B is . How many attendees are assigned to group C?

14
Difficulty:Medium