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Problem-Solving and Data Analysis / Percentages Difficulty: Medium

An insurance company offers a series of three information sessions. $1,250$ $1,250$ people attended the first information session. $72 percent sign$ of the people who attended the first information session attended the second information session, and $36 percent sign$ of the people who attended the first and second information sessions attended the third information session. How many people attended all three information sessions?

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Explanation

The correct answer is $324$ . It’s given that $1,250$ people attended the first information session, and that $72 percent sign$ of the people who attended the first information session attended the second information session. Therefore, the number of people who attended the first and second information sessions can be found by calculating $72 percent sign$ of $1,250$ , which is equal to $1 comma 250 left parenthesis StartFraction 72 Over 100 EndFraction right parenthesis$ , or $900$ . It’s also given that $36 percent sign$ of the people who attended the first and second information sessions attended the third information session. Since $900$ people attended the first and second information sessions, the number of people who attended the first, second, and third information sessions can be found by calculating $36 percent sign$ of $900$ , which is equal to $900 left parenthesis StartFraction 36 Over 100 EndFraction right parenthesis$ , or $324$ . Therefore, $324$ people attended all three information sessions.