Question

a number of people were surveyed and asked whether they have visited mexico, costa rico, or neither. the venn diagram (with two overlapping ovals labeled visited mexico and visited costa rica, with 30 in mexico only, 10 in both, 15 in costa rica only, and 8 outside both) note: only enter a number in each blank. a) how many people were surveyed? blank b) how many people have visited mexico? blank c) how many people have visited costa rica but not mexico? blank d) how many people have visited costa rica and mexico? blank

Explanation:

Part a: Total surveyed

To find the total number of people surveyed, we sum all the regions in the Venn diagram: those who visited only Mexico (30), only Costa Rica (15), both (10), and neither (8).
$$ 30 + 10 + 15 + 8 = 63 $$

Part b: Visited Mexico

People who visited Mexico include those who visited only Mexico (30) and those who visited both (10).
$$ 30 + 10 = 40 $$

Part c: Visited Costa Rica but not Mexico

This is the region of Costa Rica that does not overlap with Mexico, which is 15.

Part d: Visited both Costa Rica and Mexico

The overlapping region of the two circles (Mexico and Costa Rica) is 10.

Answer:

a) 63
b) 40
c) 15
d) 10