Question

The number of boys and girls in a class are in the ratio 7:5. The number of boys is 8 more than the number of girls. What is the total class strength?

please tell friends ​

Answer 1

Answer:

first find the total ratio 12

let girls be x

boys 8+x(coz they are 8 more than girls )

now something is missing in the question

that's the total number of students

so please tell me so that I may complete

Answer 2

S O L U T I O N :

$\underline{\bf{Given\::}}$

The number of boys & girls in a class are in the ratio 7:5. The number of boys is 8 more than the number of girls.

$\underline{\bf{Explanation\::}}$

Le the number of boys are in the ratio be 7r & let the number of girls are in the ratio be 5r respectively .

• Boys = 7r
• Girls = 5r

A/q

$\mapsto\tt{7r=5r + 8}$

$\mapsto\tt{7r-5r =8}$

$\mapsto\tt{2r =8}$

$\mapsto\tt{r=\cancel{8/2}}$

$\mapsto\bf{r=4}$

Now;

• Number of boys = 7r = 7 × 4 = 28 boy's .
• Number of girls = 5r = 5 × 4 = 20 girl's .

$\mapsto\sf{Total\:_{(class\:strength)} = No.\:of\:boys + No.\:of\:girls }$

$\mapsto\sf{Total\:_{(class\:strength)} = 28 + 20}$

$\mapsto\sf{Total\:_{(class\:strength)} = 48\:student's}$

Thus;

The total class strength is 48 students .