# 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

D. None of these

### Solution(By Examveda Team)

1. Let no of girls is 5, so 1/5 of 5= 1, and no of boys is 8, so 1/8 of 8=1.
Total students=8+5=13.
No of participants =1+1=2.
So the fraction be =2/13.

2. let, x be the total number of boys & y be the total number of girls.
so, the ratio of participating boys and girls is equal to (x/8+y/5)/(x+y)
since, we dont know the total number of students.... so data insufficiency is the correct answer.

3. i think that the answer should be D as by Calculating we can find that 33/100 Means 33% of the students participated. so the Answer that Data is inadequate is not correct

4. Itx 13/40 not data indequate

5. How the data is inadequate? According to the question the no.of girls participated are 1/5 and no.of boys participated are 1/8 and they asked the total no.of students.So if we add these two values together then we get 13/40 as the answer but it is incorrect,why???

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