SOLUTION: please help thank so much. A survey of a group of people produced the following results: there were 35 people with brown eyes and 24 people with blonde hair. If 14 people had

This is a Venn diagram problem.

First draw a big rectangle to hold all people interviewed:
 

 
Next draw a circle to hold all 35 people with brown eyes
and label it E (for "eyes"):
 

 
Next draw a circle overlapping the first circle to 
hold all 24 people with blonde hair and label
it H (for "hair"). 
 

 
The overlapping part will contain the 14 people who had both
brown eyes and blonde hair, so we write "14" in the region that's shaped
like this " () ", the overlapping region of the two 
circles.
 

 
Now since 35 people had brown eyes, and 14 of those 35 are
accounted for because they also had blonde hair. the rest
of them, the other 35-14 or 21, are over in the left side of 
circle E.  So we write 21 in the left part of circle E.
 
 
 
Now since 24 people had blonde hair, and 14 of those 24 are
accounted for because they also had brown eyes, the rest
of them, the other 24-14 or 10, are over in the right side of 
circle H.  So we write 10 in the right part of circle H.
 
 
 
Now we have placed 21+14+10 or 45 of the people. So
that leaves only the 27 people to be placed who had neither 
brown eyes nor brown hair.  They go in the rectangle outside 
both circles. I'll put those 27 people down on the bottom 
left side of the rectangle outside both circles:
 


Now all we need do is add up all the people in all the 4
regions:

21+14+10+27= 72

So there were 72 people interviewed.
 
Edwin