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.

Respuesta :

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

[tex]\dfrac{3}{8}\times 40=15[/tex]

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

[tex]\dfrac{4}{5}\times 15=12[/tex]

Therefore, 12 students chose both chess and painting.