Question

In a small town 68% of the people owned television 72% on radio and 12% owned neither television nor radio (1)represent the information on a Veen diagram.

(2)what percentage of the population owned television.​

Answer 1

90%

Explanation:

Answer 2

Percentage of those who owned TV is 16%

Explanation:

Given

n(TV) = 68%

n(Radio) = 72%

None = 12%

Total Population = 100%

Required

What percentage owned television

See attachment for Venn diagram

[Calculating the percentage that owned television]

Represent those that own TV and Radio with x

So:

n(Both) = x

From the Venn diagram;

Total Population = (n(TV) - x )+ (n(Radio) - x) + None + x

This gives

100% = (68% - x) + (72% - x) + 12% + x

Open all brackets

100% = 68% - x + 72% - x + 12% + x

Collect like terms

100% = 68% + 72% + 12% - x - x + x

100% = 152% - x

Make x the subject of formula

x = 152% - 100%

x = 52%

The percentage of those who owned TV = n(TV) - x

Percentage = 68% - 52%

Percentage = 16%