Question

if the ratio of boys and girls of a school is 4 ratio 5 and there is a increment of boys by 30% and increasement in girls by 40% find the new ratio of boys to girls​

Answer 1

Answer:

Step-by-step explanation:

There is an important difference between the way counts are viewed in ratio to that in fractions.

The ratio of boys : girls  → 4 : 5

so you have 4 boys and 5 girls making the whole count  

4+ 5 = 9

in its simplest form.

So to change the ratio proportion into fraction proportion we have:

boys  → 4 /9  of the whole.

girls  → 5/ 9 of the whole.

It is given that the whole is 3321 therefore the count of boys is:  

4 /9 × 3321 = 1476

Answer 2

Answer:

given, ratio of boys to girls = 4:5

let ratio factor be x

number of boys = 4x

number of girls = 5x

30% increase in boys = 30/100 * 4x

= 3/5 * 2x

= 6x/5

40% increase in girls = 40/100 * 5x

= 10x

therefore new ratio of boys to girls = 6x/5 : 10x

= 6x:50x

= 6:50

= 3:25

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