Question

In the school ECA club, 3/8 of the students chose chess. Of the students who chose chess, 4/5 also chose painting. If there are 40 students in the club, how many do both chess and painting.

Answer 1

Given:

Total number of students = 40

In the school ECA club, 3/8 of the students chose chess.

Of the students who chose chess, 4/5 also chose painting.

To find:

The number of student who chose both chess and painting.

Solution:

Total number of students = 40

3/8 of the students chose chess. So, number of students who chose chess is

`(3)/(8)* 40=15`

Of the students who chose chess, 4/5 also chose painting. So, number of students who chose both chess and painting is

`(4)/(5)* 15=12`

Therefore, 12 students chose both chess and painting.