Draw a Venn diagram that represent a class of 32 students. All students take Spanish and 20 take French. How many did not take French.

12

The Venn diagram shows the number of students in an eighth-grade class taking art and drama as their electives. What is the probability of a student chosen at random taking either of these subjects as an elective?

To answer this question, we can create a Venn diagram. A Venn diagram is a visual representation of sets, where overlapping circles indicate common elements between those sets. In this case, we have two sets: students who take Spanish and students who take French.

1. Start by drawing a rectangular shape to represent the universal set, which in this case is the total class of 32 students.

2. Inside the rectangular shape, draw two circles that overlap partially. Label one circle as "Spanish" and the other as "French".

3. Place a number inside the "Spanish" circle to represent the total number of students taking Spanish, which is given as 32 (the total class).

4. Place a number inside the "French" circle to represent the number of students taking French, which is given as 20.

Now, we need to find out how many students did not take French.

To do this, we calculate the number of students in the "Spanish" circle who are not in the overlapping area with the "French" circle.

Using the information given, we know that 32 students take Spanish, out of which 20 take both Spanish and French (as indicated by the overlapping area).

32 students taking Spanish - 20 students taking both Spanish and French = 12 students taking only Spanish.

Therefore, the number of students who did not take French is 12.