A survey shows that 63 percent of the american

Asked by admin @ 11/08/2021 in Math viewed by 260 People

A survey shows that 63 % of the Americans like cheese

whereas 76 % like apples . If x % of theAmericans like both cheese and apples, find the value of x

Answered by admin @ 11/08/2021

Answer:

The value of x is 39.

Step-by-step explanation:

Let A is the event to like apple and C is the event to like the cheese,

Given,

n(A) = 63 %, n(C) = 76 %,

Since, the total number of people is 100 %

$\implies n(A\cup C) = 100\%$

We have to find the number of people who like both apple and cheese,

That is, $n(A\cap C)$

We know that,

$n(A\cap C)=n(A)+n(C) - n(A\cap C)$

$100\% = 63\% + 76\%-n(A\cap C)$

$100\% = 139\%-n(A\cap C)$

$\implies n(A\cap C) = 139\% - 100\% = 39\%$

Hence, 39 % people like both apple and cheese.

Also, if x % = 39 %

The value of x is 39.

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