Question

U= the 100 people surveyed A= the 60 people that like coca-cola B= the 55 people that like Pepsi C= the 30 people that liked neither

Answer 1

45 people that like both

Explanation:

Given

`U = 100`

`A = 60` --- coca-cola

`B = 55` --- Pepsi

`C = 30` --- None

Required

People that like both

Represent this set of people with x.

To solve for x, we have:

Total = Coca-Cola only+ Pepsi only + Both + None

Mathematically, we have:

`U = (A- x) + (B - x) + x + C`

This gives

`100 = (60- x) + (55 - x) + x + 30`

Remove brackets and collect like terms

`100 = 60+ 55+ 30- x - x + x`

`100 = 145- x`

Collect like terms

`x= 145- 100`

`x= 45`