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D
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Difficulty:
95%
(hard)
Question Stats:
37% (02:24) correct
63%
(02:18)
wrong
based on 208
sessions
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At Typico High School, 60% of the students like dancing, and the rest dislike it. Of those who like dancing, 80% say that they like it, and the rest say that they dislike it. Of those who dislike dancing, 90% say that they dislike it, and the rest say that they like it. What fraction of students who say they dislike dancing actually like it?
(A) 10% (B) 12 % C) 20% (D) 25% (E) 100/3 %
(A) 10% (B) 12 % C) 20% (D) 25% (E) 100/3 %
08 Mar 2019, 03:49
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Noshad
Say there are 100 students.
Students who like dancing = 60% of 100 = 60
Of these, 80% of 60 SAY they like it = 48 SAY they like it
Rest SAY they don't like it = 12 SAY they don't like it
Students who dislike dancing = 40% of 100 = 40
Of these, 90% of 40 SAY they dislike it = 36 SAY they dislike it
Rest SAY they like it = 4 SAY they like it
So 12 + 36 = 48 SAY they dislike dancing. Of these 12 actually like it so 12/48 = 25%
Answer (D)
08 Mar 2019, 04:10
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Assuming that there is 100 students, we can distribute the given percentages into a table.
Total number who say dislike = 48, from which 12 actually like,
so the fraction \(= \frac{12}{48} = 0.25 = 25\)%
Total number who say dislike = 48, from which 12 actually like,
so the fraction \(= \frac{12}{48} = 0.25 = 25\)%
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