Question

Each student in a class plays one of three sports: soccer, volleyball, 0r basketball. 3/5 of the number of students play soccer, 1/4 of the number of students play volleyball. What fraction of the number of students play basketball?

Answer 1

To find the fraction of the students that play basketball, you will start with one whole group of students and subtract 1/4 and 3/5 from it.

The answer is 3/20 of the number of students.

Please see the attached work.

Answer 2

Number of student play basketball is
`(3)/(20)`

Explanation:

Given : Each student in a class plays one of three sports: soccer, volleyball, 0r basketball. 3/5 of the number of students play soccer, 1/4 of the number of students play volleyball.

To find : What fraction of the number of students play basketball?

Solution :

First we find the number of students play soccer and basketball.

Number of student play Soccer is
`(3)/(5)`

Number of student play Volleyball is
`(1)/(4)`

Total number of students play soccer and volleyball is

`(3)/(5)+(1)/(4)=(12+5)/(20)=(17)/(20)`

We have given that, Each student in a class plays one of three sports.

So, If we subtract total of soccer and volleyball from 1 gives you the student play basketball.

Thus, Number of student play basketball is

`1-(17)/(20)=(20-17)/(20)=(3)/(20)`

Therefore, Number of student play basketball is
`(3)/(20)`