Question

The number of boys and girls in a class is in the ratio 8 : 5. The number of boys is 9 more than the number of girls. The total number of students in the class is​

Answer 1

Answer:

55

Step-by-step explanation:

I think this is correct answer

Answer 2

Given: 

• The number of Boys and Girls in a Class is in the ratio of 8 : 5. & The number of Boys is 9 more than the number of Girls.

To find: 

• The Total number of Students?

⠀⠀

Solution:

❏ Let's say, that the number of present Boys and Girls in the class be 8x and 5x respectively.

⠀

$\maltese\:{\boxed{\boxed{\textsf{\color{navy}{According\: to \: the\: Question}}}}}$

• It is given that, the number of Boys in the class is 9 more than the number of Girls in the Class.

$\begin{gathered}:\implies\sf \Big\{No.\; of\;Boys\Big\}=\Big\{No.\;of\;Girls+9\Big\}\\\\\end{gathered} \\ \begin{gathered}:\implies\sf 8x = 5x + 9\\\\\end{gathered} \\ \begin{gathered}:\implies\sf 8x - 5x = 9\\\\\end{gathered} \\ \begin{gathered}:\implies\sf 3x = 9\\\\\end{gathered} \\ \begin{gathered}:\implies\sf x = \cancel\dfrac{9}{3}\\\\\end{gathered} \\ \begin{gathered}:\implies\underline{\boxed{{\frak{{x = 3}}}}}\pink\bigstar\\\end{gathered}$

Therefore,

• Number of Girls, 5x = 5(3) = 15
• Number of Boys, 8x = 8(3) = 24

∴ Hence,total number of Boys and Girls are 15 and 24.

$\maltese\: \boxed { \sf{Total \: Number \: of \: Students } }$

➟ No. of Students = No. of Boys + No. of Girls

➟ No. of Students = 15 + 24

➟ No. of Students = 39

⠀

∴Hence, total number of students in the class  are 39.

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@itzshivani