Question

Q3.The boys and the girls in a school are in the ratio 7:4. If the total strength of the school is

550, find the number of boys and girls.​

Answer 1

Ratio of boys and girls = 7 : 4

Total no. of students = 550

Which means;

550 = 7x + 4x

550 = 11x

50 = x

_______________________________

No. of boys = 7 × 50

= 350

_______________________________

No. of Girls = 4 × 50

= 200

Answer 2

$\bf{ YOUR \: QUESTION:-}$

The boys and the girls in a school are in the ratio 7:4. If the total strength of the school is 550, find the number of boys and girls.

$\bf \underline\red{GIVEN:-}$

Ratio of boys and girls in a school = 7:4

Total students = 550

$\bf \underline \red{TO \: FIND:-}$

Number of boys and girls

$\bf \underline \red{SOLUTION:-}$

Let the number of boys be 7x

Let the number of girls be 4x

$7x + 4x = 550 \\ \\ 11x = 550 \\ \\ x = \frac{550}{11} \\ \\ x = 50$

$\cal{Number \: of \: boys = 50×7 = 350}$

$\cal{Number \: of \: girls = 50×4 = 200}$

$\bf \underline \red{PROVE:-}$

Total number of students = Number of girls + Number of boys

550 = 350+200

550 = 550

L.H.S = R.H.S