# In a survey of political preferences, 78% of those asked were in favour of at least one of the ...

In a survey of political preferences, 78% of those asked were in favour of at least one of the proposals: I, II and III. 50% of those asked favoured proposal I, 30% favoured proposal II, and 20% favoured proposal III. If 5% of those asked favoured all three of the proposals, what A percentage of those asked favoured more than one of the 3 proposals.

## Answer/Solution

17

### Steps/Work

Bunuel, my answer for exactly 2 people was 17 and this was my approach:

100%=(A+B+C)-(AnB+AnC+BnC)-5%+22% which leads me to

A=100%=(50+30+20)-(at least 2 people)-5%+22%.C

100%=(A+B+C)-(AnB+AnC+BnC)-5%+22% which leads me to

A=100%=(50+30+20)-(at least 2 people)-5%+22%.C