Question

At West High School, 2/ 5 of the students play a sport. Of the students who play a sport, 1 /4 play football. What fraction of the students at West High School play football?

A.1/10
B.1/3
C.1/5
D.2/3

Answer 1

A , because 2/5 × 1/4 = 2/20 = 1/10

Answer 2

`(1)/(10)`

Explanation:

Given : At West High School, 2/ 5 of the students play a sport.

Of the students who play a sport, 1 /4 play football.

To Find: What fraction of the students at West High School play football?

Solution:

Students play sports =
`(2)/(5)`

Of the students who play a sport,
`(1)/(4)` play football.

Now the fraction of the students at West High School play football =
`(1)/(4) * (2)/(5)`

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

=
`(1)/(10)`

Thus Option A is correct.

Hence
`(1)/(10)` at West High School play football.