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

Answer:

45 people that like both

Step-by-step 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

$x= 145- 100$

$x= 45$