Question

westside highs 2015 senior - class science enrollment is summarized by the venn diagram. chemistry, biology, and physics class enrollments are denoted by the sets c, b, an p, respectively. how many students are in the 2015 senior class? how many students are taking chemistry and biology, but not physics? how many students are not taking science?

Explanation:

Step1: Find the total number of students in the senior class

Add all the numbers in the Venn diagram: \(9 + 5+11 + 3+4 + 6+7+18\)

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Step2: Find the number of students taking chemistry and biology but not physics

Look at the intersection of \(C\) and \(B\) that is not in \(P\), which is \(5\)

Step3: Find the number of students not taking science

The number outside the \(C\), \(B\), and \(P\) circles is \(18\)

Answer:

The number of students in the 2015 senior class is \(63\). The number of students taking chemistry and biology but not physics is \(5\). The number of students not taking science is \(18\).