Question

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. 1/2B. 2/3C. 11/15D. 23/30E. 4/5

Answer 1

option C

Explanation:

`(3)/(5)` class left
`(2)/(5)` of the class left.

now,

`(1)/(3)` of stayed did not want to go so,
`(2)/(3)` of the student wanted to go.

`(1)/(2)` of the stayed student join the trip.

number of student that stayed and wanted to go are

=
`(2)/(5)* (2)/(3)* (1)/(2)`

=
`(2)/(15)`

fraction of class on the field trip

=
`(3)/(5)+(2)/(15)`

=
`(11)/(15)`

Hence, the correct answer is option C