Out of 650 students, the ratio of the boys to that of the girls is 8:5. How many more girls should join to make it 4:3

Question

In a school there are 650 students. The ratio of the boys to that of the girls is 8:5. How many more girls should join the school so that the ratio becomes 4:3

Answer 1

8:5 => boys:girls => 8/13×650{ total number of children }
= 400 boys => 650 - 400 = 250 girls.

((250 + x{ the extra number of girls required for the ratio }) / 400) = 4/3.

X = 50.

Answer 2

50 girls should be added
in 650 boys=400 and girls=250
here boys are not increasing,girls are increasing
400/250+x=4/3
1200=1000+4x
4x=200
x=50
if we added 50 to girls are 300
ratios are:400:300=4:3