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.

THE ANSWER OF THIS QUESTION IS x=39 OR 39

Asked by govtsecschoolnayaganv051 | 25th Jun, 2018, 06:02: PM

Expert Answer:

Let A be the set of Americans like cheese and B be the set of American likes apples.
n(A) = 63, n(B) = 76, n(A ∩ B) = x
begin mathsize 16px style straight n left parenthesis straight A union straight B right parenthesis space equals straight n left parenthesis straight A right parenthesis space plus space straight n left parenthesis straight B right parenthesis space minus space straight n left parenthesis straight A space intersection space straight B right parenthesis
100 equals 63 space plus space 76 space minus space straight x
straight x equals 139 minus 100
straight x equals 39 space or space straight x greater than 39
end style

Answered by Sneha shidid | 27th Jun, 2018, 11:10: AM