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

The answer is 90%

Explanation:

Answer 2

See attachment for Venn diagram

Percentage of only TV owners is 16%

Explanation:

Given

`TV\ Owners = 68\%`

`Radio\ Owners = 72\%`

`None = 12\%`

Required

Represent with a Venn Diagram

What percentage owned television

From the Venn Diagram and In sets theory; we have that

Total = (TV Owners - Radio and TV Owners) + (Radio Owner - Radio and TV Owners) + Radio and TV Owners + None

Represent Radio and TV Owners with y

`Total = (TV\ Owners - y) + (Radio\ Owner - y) + y + None`

Substitute 68% for TV Owners, 72% for Radio Owners, 12& for None:

`Total = 68\% - y + 72\%- y + y + 12\%`

Collect Like Terms

`Total = 68\% + 72\%+ 12\%- y + y - y`

`Total = 152\% - y`

In Sets, Total represents 100%; So, we have

`100\% = 152\% - y`

Make y the subject of formula

`y = 152\% - 100\%`

`y = 52\%`

The percentage of only TV owners is calculated by subtracting y from TV owners

`\%P = 68\% - 52\%`

`\%P = 16\%`