Answer:
Number of student play basketball is [tex]\frac{3}{20}[/tex]
Step-by-step 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 [tex]\frac{3}{5}[/tex]
Number of student play Volleyball is [tex]\frac{1}{4}[/tex]
Total number of students play soccer and volleyball is
[tex]\frac{3}{5}+\frac{1}{4}=\frac{12+5}{20}=\frac{17}{20}[/tex]
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
[tex]1-\frac{17}{20}=\frac{20-17}{20}=\frac{3}{20}[/tex]
Therefore, Number of student play basketball is [tex]\frac{3}{20}[/tex]
