westside highs 2015 senior - class science enrollment is summarized by the venn diagram. chemistry, biology…

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?

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?

Answer

Explanation:

Step1: Calculate total students in science

Add up all the numbers within the three - circle Venn diagram: $9 + 5+3 + 6+4 + 7=34$.

Step2: Calculate total students in senior - class

Add the number of students not taking science (18) to the number of students taking science. So, $34 + 18=52$.

Step3: Find students taking chemistry and biology but not physics

The number in the intersection of C and B that is not in P is 5.

Step4: Find students not taking science

The number outside the three - circle Venn diagram is 18.

Answer:

How many students are in the 2015 senior class? 52 How many students are taking chemistry and biology, but not physics? 5 How many students are not taking science? 18