Bunuel wrote:

Tough and Tricky questions: Ratios

3/5 of a certain class left on a field trip. 1/3 of the students who stayed behind did not want to go on the field trip (all the others did want to go). When another vehicle was located, 1/2 of the students who did want to go on the field trip but had been left behind were able to join. What fraction of the class ended up going on the field trip?

A. 1/2

B. 2/3

C. 11/15

D. 23/30

E. 4/5

Let total no of students=30 ( LCM of denominators)

Now, 3/5 of a class left on a field trip.

went for field trip=3/5x30 =3x6=18

Stayed=30-18 = 12

Then, 1/3 of student who stayed behind did not want to go to field trip. i.e. 1/3 x 12 = 4

All other ddid want to go i.e student's who want to go=12-4=8

Again, 1/2 of the students who did want to go joined i.e. 1/2 x 8=4

Students who ended up going to field trip = 18 + 4= 22

Fraction= 22/30 = 11/15

Hence, Ans is: C

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