Step-by-step explanation:

ratio of boys to girls is

16:24 = 3.2

Ratio of girls to boys is

24:32 = 2:3

Ratio of girls to the total number of students in class is

16:40 = 3:5

• A. Ratio of boys to girls is 3:2
• B. Ratio of girls to boys is 2:3
• C. Ratio of girls to the total number of students in the class is 2:5

Step-by-step explanation:

Given

Number of girls = 16

Number of boys = 24

Total number of students in class = no. of boys + no. of girls

Total students = 24 + 16

Total students = 40

Now,

• (A) Ratio of boys to girls

[tex] \rightarrow \bf{ \: \frac{no. \: \: of \: \: boys}{no. \: \: of \: \: girls} = \frac{24}{16} } \\ [/tex]

[tex] \rightarrow \bf{ \: \frac{no. \: \: of \: \: boys}{no. \: \: of \: \: girls} = \frac{ \cancel{ \red{2}} \times \cancel{ \red{2}} \times \cancel{ \red{2}} \times 3}{\cancel{ \red{2}} \times \cancel{ \red{2}} \times \cancel{ \red{2}} \times 2} } \\ [/tex]

[tex] \rightarrow \bf{ \frac{no. \: \: of \: \: boys}{no. \: \: of \: \: girls} = \boxed{ \frac{3}{2} }} \\ [/tex]

• (B) Ratio of girls to boys

[tex] \rightarrow \bf{ \: \frac{no. \: \: of \: \: girls}{no. \: \: of \: \: boys} = \frac{16}{24} } \\ [/tex]

[tex] \rightarrow \bf{ \: \frac{no. \: \: of \: \: girls}{no. \: \: of \: \: boys} = \frac{ \cancel{ \red{2}} \times \cancel{ \red{2}} \times \cancel{ \red{2}} \times 2}{\cancel{ \red{2}} \times \cancel{ \red{2}} \times \cancel{ \red{2}} \times 3} } \\ [/tex]

[tex] \rightarrow \bf{ \frac{no. \: \: of \: \: girls}{no. \: \: of \: \: boys} = \boxed{ \frac{2}{3} }} \\ [/tex]

• Ratio of girls to the total number of students in the class

[tex] \rightarrow \bf{ \: \frac{no. \: \: of \: \: girls}{total \: \: students} = \frac{16}{40} } \\ [/tex]

[tex] \rightarrow \bf{ \: \frac{no. \: \: of \: \: girls}{total \: \: students} = \frac{ \cancel{ \red{2}} \times \cancel{ \red{2}} \times \cancel{ \red{2}} \times 2}{\cancel{ \red{2}} \times \cancel{ \red{2}} \times \cancel{ \red{2}} \times 5} } \\ [/tex]

[tex] \rightarrow \bf{ \frac{no. \: \: of \: \: girls }{total \: \: students} = \boxed{\frac{2}{5}} } \\ [/tex]