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An institute organised a fete and 1/5 of the girls and 1/8 of the boys participated in the same. What fraction of the total number of students took part in the fete ?
  • a)
    2/13
  • b)
    13/40
  • c)
    Data inadequate
  • d)
    None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
An institute organised a fete and 1/5 of the girls and 1/8 of the boys...
Suppose ther are 18 students (10 girls, 8 boys).1/5 of 10=2 (girls).1/8 of 8=1 (boy).Total participation=2+1=3.Total students=10+8=18.
Answer = 3/18 = 1/6.
Answer cannot be determined until we have the Ratio of girls to boys.
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Most Upvoted Answer
An institute organised a fete and 1/5 of the girls and 1/8 of the boys...
Given:

- 1/5 of the girls participated in the fete
- 1/8 of the boys participated in the fete

To find:

- Fraction of the total number of students who participated in the fete

Solution:

Let the total number of girls be represented by '5x' and the total number of boys be represented by '8y'.

- Number of girls who participated in the fete = 1/5 * 5x = x
- Number of boys who participated in the fete = 1/8 * 8y = y

Total number of students who participated in the fete = x + y

We cannot determine the exact value of x and y as the total number of girls and boys are not given. Hence, the data is inadequate to find the fraction of the total number of students who participated in the fete.

Therefore, the correct answer is option C: Data inadequate.
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Community Answer
An institute organised a fete and 1/5 of the girls and 1/8 of the boys...
The institutional fraction of the boys and girls was given and the numerator of both is expected to be the same, while the denominators may vary.
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