Question

7. The ratio of the number of boys and girls in a class is 5:9. Find the number of girls if the total number
of students in the class is 56.
of och anne of the triangle.​

Answer 1

Given :

• Ratio of boys and girls = 5:9

• Total number of students = 56.

To Find :

• Total number of girls in the class = ?

Solution :

Let, no. of students be x, 5x and 9x

$\to \sf 5x + 9x = 56 \\ \\ \sf \to 14x = 56 \\ \\ \to\sf \: x = \frac{56}{14} \\ \\ \to\bf \: x = 4$

So, X = 4.

No.of Boys = 5x

$\to \sf \: 5x = 5 \times 4 \\ \\\to\sf 20$

∴ No.of boys = 20

No. of Girls = 9x

$\to \sf \: 9 \times 4 \\ \\ \to\sf \: 36$

∴ No. of Girls = 36.

20 + 36 = 56

Answer 2

Step-by-step explanation:

____________________________________________________________

$\text{\huge\underline{\red{Question:-}}}$

:$\Longrightarrow$ The ratio of the number of boys and girls in a class is 5:9. Find the number of girls if the total number of students in the class is 56.

$\text{\huge\underline{\orange{To\ find:-}}}$

:$\Longrightarrow$ The number of girls = ??

$\text{\huge\underline{\green{Given:-}}}$

:$\Longrightarrow$ The ratio of boys and girls in class = 5 : 9.

:$\Longrightarrow$ Total number of students in class = 56.

$\text{\huge\underline{\purple{Solution:-}}}$

:$\Longrightarrow$ Let the number of boys be , 5 × x = 5x.

:$\Longrightarrow$ And the number of girls be, 9 × x = 9x.

$\text{\Large\underline{\blue{According\ to\ the\ Question:-}}}$

:$\Longrightarrow$ Number of boys + Number of girls = Total number of students

:$\Longrightarrow$ 5x + 9x = 56

:$\Longrightarrow$ 14x = 56

:$\Longrightarrow$ $\mathrm{x\ =\ \dfrac{56}{14}}$

:$\Longrightarrow$ x = 4 (Number of boys)

:$\Longrightarrow$ ( Since, it is given that number of girls = 9x)

$\text{\Large\underline{\blue{By\ putting\ the\ value\ of\ x:-}}}$

:$\Longrightarrow$ = 9 × 4

:$\Longrightarrow$ $\mathfrak\pink{\bigstar{\boxed{Answer\ =\ 36}}}$

:$\Longrightarrow$ $\therefore$ Hence, the number of girls in class = 36.

$\text{\huge\underline{\bf{Hence,\ Verified}}}$

____________________________________________________________