Question

there are 203 students in a class .the no. of girls is 1/6 of the no of boys .find the no . of the girls and the boys​

Answer 1

Answer:

number of girls = 29

number of boys = 174

Step-by-step explanation:

total number of students = 203

let the number of boys be x

girls are 1/6 the number of boys, which is 1/6 × x = x/6

$x + \frac{x}{6} = 203 \\ \frac{6x + x}{6} = 203 \\ 7x = 203 \times 6 \\ x = \frac{203 \times 6}{7} \\ x = 29 \times 6 \\ x = 174 \\ number \: of \: boys \: are \: 174 \\ number \: of \: girls \: = \frac{x}{6} = \frac{174}{6} = 29$

hope you get your answer

Answer 2

AnswEr :

Let's the Number of Boys in Class be z

$\bold{Given} \begin{cases} \sf{Total \: Students=203} \\ \sf{Boys=z} \\ \sf{Girls= \dfrac{1}{6} \times z = \dfrac{z}{6} }\end{cases}$

• According to the Question Now :

$\Longrightarrow \text{Boys + Girls = Total \: Students}$

$\Longrightarrow \sf{z + \dfrac{z}{6} = 203 }$

$\Longrightarrow \sf{\dfrac{(z \times 6) + z}{6} = 203 }$

$\Longrightarrow \sf{\dfrac{6z + z}{6} = 203 }$

$\Longrightarrow \sf{\dfrac{7z}{6} = 203 }$

$\Longrightarrow \sf{ z= \cancel{203}\times \dfrac{6}{ \cancel7} }$

$\Longrightarrow \sf{ z=29 \times 6 }$

$\Longrightarrow \boxed{\sf{ z= 174}} \: \: \: \: \: \: \: \: \: \: \: \: - \mathfrak{Boys \: No.}$

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$\Longrightarrow \sf{ \dfrac{z}{6} }$

$\Longrightarrow \sf{ \cancel\dfrac{174}{6} }$

$\Longrightarrow \boxed{\sf{29}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: - \mathfrak{Girls \: No.}$

⠀

჻ There are 174 Boys and 29 Girls in Class.

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