The number of students in the class is [tex]s=14[/tex]
Explanation:
It is given that there are 6 girls in a music class.
This represents [tex]\frac{3}{7}[/tex] of the entire class.
To determine the number of students in the class, we need to solve the equation [tex]\frac{3}{7}s=6[/tex]
Let us solve the expression for s.
Multiplying both sides of the equation by [tex]\frac{7}{3}[/tex], we have,
[tex](\frac{7}{3} )\frac{3}{7}s=6(\frac{7}{3} )[/tex]
Simplifying the expression, we have,
[tex]s=\frac{42}{3}[/tex]
Dividing by 3, we have,
[tex]s=14[/tex]
Thus, the number of students in the class are 14.