Each student in a class plays one of three sports: soccer, volleyball, or basketball.

of the number of students play soccer

of the number of students play volleyball

What fraction of the number of students play basketball?
A
B
C
D

Ask by Gibbs Owen. in the United States

Mar 26,2025

Question

Each student in a class plays one of three sports: soccer, volleyball, or basketball.

of the number of students play soccer

of the number of students play volleyball

What fraction of the number of students play basketball?
A
B
C
D

Ask by Gibbs Owen. in the United States

Mar 26,2025

UpStudy AI · Accepted Answer

Let the total number of students be $$ T $$.

The number of students who play soccer is:
$$
\frac{3}{5} T
$$

The number of students who play volleyball is:
$$
\frac{1}{4} T
$$

Since every student plays one sport, the number of students who play basketball is:
$$
T - \frac{3}{5}T - \frac{1}{4}T
$$

To subtract these fractions, find a common denominator. The common denominator for $$5$$ and $$4$$ is $$20$$:

$$
\frac{3}{5}T = \frac{12}{20}T, \quad \frac{1}{4}T = \frac{5}{20}T
$$

Now, subtract:
$$
T - \frac{12}{20}T - \frac{5}{20}T = T - \frac{17}{20}T = \frac{20}{20}T - \frac{17}{20}T = \frac{3}{20}T
$$

Thus, the fraction of the number of students who play basketball is:
$$
\frac{3}{20}
$$

The correct answer is A.
The fraction of students who play basketball is $$ \frac{3}{20} $$.