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In a survey of a community, 58% like to listen to the radio only and 18% like to watch the T.V. only. If the number of people who like to listen to the radio is thrice the number of people who like to watch the T.V., then,
(i) Find percentage of people who donot like both of them.
ii Represent the above information in venn diagram. ​

Respuesta :

abidemiokin

The percentage of those that did not like both of them is 76%

Venn diagrams and set notation

Let the total number of people in the community be 100%

n(u) = 100

If 58% like to listen to the radio only and 18% like to watch the T.V. only, then;

n(R) = 58 - x

n(T) = 118 - x

where x is the percentage of people who do not like both of them. Taking the sum;

58 + x + 18 = 100

x + 76 = 100

x = 100 - 76

x = 24

Hence 24% of people like both of them.

The percentage of those that did not like both of them is 76%

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