Respuesta :
Answer:
The fraction of students who play soccer is 11/24.
Step-by-step explanation:
Let x be the total number of students in the gym class,
Since, 1/8 of students play basketball,
Thus, the number of students who play baseball = 1/8 of x
[tex]=\frac{x}{8}[/tex]
Also, 5/12 play volleyball,
The number of students who play volleyball = 5/12 of x
[tex]=\frac{5x}{12}[/tex]
Given, students other than playing baseball and volleyball play soccer.
So, the total number of students who play soccer = Total students - ( the students who play baseball + students who play volleyball )
[tex]=x-(\frac{x}{8}+\frac{5x}{12})[/tex]
[tex]=x-(\frac{3x}{24}+\frac{10x}{24})[/tex]
[tex]=x-\frac{3x+10x}{24}[/tex]
[tex] = x - \frac{13x}{24}[/tex]
[tex]=\frac{24x-13x}{24}[/tex]
[tex]=\frac{11x}{24}[/tex]
Hence, the fraction of students who play soccer = Number of students who play soccer / Total students
[tex]=\frac{11x/24}{x}[/tex]
[tex]=\frac{11}{24}[/tex]
