Thread: Venn Diagram Math

In a student survey, 200 indicated that they would attend summer session 1 and 150 indicated that they would attend summer session 2. If 75 students plan to attend both summer sessions and 275 students indicated that they would attend neither session, how many students participated in the survey?

Originally Posted by magentarita

In a student survey, 200 indicated that they would attend summer session 1 and 150 indicated that they would attend summer session 2. If 75 students plan to attend both summer sessions and 275 students indicated that they would attend neither session, how many students participated in the survey?

Here's the diagram. Number students participating would be 275 + 200 + 150 - 75 = 550

Originally Posted by masters

Here's the diagram. Number students participating would be 275 + 200 + 150 - 75 = 550

Why did you include 275 in the addition process when the question said that 275 students "would attend neither session"?

I'm a little confused.

Thanks

Originally Posted by magentarita

Why did you include 275 in the addition process when the question said that 275 students "would attend neither session"?

I'm a little confused.

Thanks

The question was 'how many students participated in the survey'. Those 275 would have to have been polled in order to know that they intended not to attend either session. Don't you think?

Originally Posted by masters

The question was 'how many students participated in the survey'. Those 275 would have to have been polled in order to know that they intended not to attend either session. Don't you think?

Yes, I did not apply a little common sense, which is a great problem for most math students.