Question

out of 650 students in a school 416 are girls. what is the percentage of girls??​

Answer 1

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Total number of students in the school = 650

Ratio of boys to girls = 8:5

That means the fraction of students that are boys = 8/13

So, the number of boys = 8/13 x total number of students = 8/13 x 650 = 8 x 50 = 400

Then, the fraction of students that are girls = 5/13

So, the number of girls = 5/13 x total number of students = 5/13 x 650 = 5 x 50 = 250

Now, we need to find the number of more girls that need to join so that the ratio of boys to girls becomes 4:3.

This means that the number of boys will remain the same i.e. is 400.

Now, according to the new ratio of boys to girls i.e. 4:3

The fraction of students that are boys = 4/7

The number of students that are boys = 4/7 x total number of students

=> 400 = 4/7 x total number of students

=> total number of students = 400 x 7/4 = 100 x 7 = 700

Now, according to the ratio 4:3

The fraction of students that are girls= 3/7

The number of students that are girlss = 3/7 x total number of students = 3/7 x 700 = 3 x 100 = 300.

So, the number of more girls that need to join are = 300 - 250 = 50

Therefore, 50 more girls need to join so that the ratio of boys to girls becomes 4:3.