Question

A school has 300 students .if the ratio of boys to girls is 31:44, how many more girls are there in the school?

Answer 1

Answer:

There are 52 more girls in school.

Step-by-step explanation:

Given :

Total Students - 300 students.

The ratio of boys to girls is 31 : 44

To Find :

How many more girls are there in the school.

Solution :

Consider the :

The multiplier  as x.

So,

31x = Number of boys .

44x = Number of girls.

The number of Boys + girls = 300.

So,

$\sf\\ \\\implies 44x + 31x = 300\\ \\ \\ \implies 75x = 300\\ \\ \\ \implies x = \dfrac{300}{75}\\ \\ \\ \implies x = 4$

Now,

Use the value of x as multiplier.

So,

$\sf\\ \\\implies 44\times4 = 176\;Girls.\\ \\ \\ \implies 31\times4 = 124\;Boys.\\ \\ \\\implies 176 - 124\\ \\ \\\implies 52$

∴ There are 52 more girls in school.

Answer 2

Answer:

$\large\bold\red{52\:more\:Girls}$

Step-by-step explanation:

Let,

the number of boys = x

the Number of girls = y

Therefore,

x + y = 300 ............(i)

$\frac{x}{y} = \frac{31}{44} \: \: \: \: \: \: \: \: \: .................(ii)$

From (i), we get

=> x = 300 - y

Now,

putting the value of x in eqn (ii),

we get,

$= > \frac{300 - y}{y} = \frac{31}{44} \\ \\ = > (300 \times 44) - 44y = 31y \\ \\ = > 44y + 31y = 300 \times 44 \\ \\ = > 75y = 300 \times 44 \\ \\ = > y = \frac{300 \times 44}{75} \\ \\ = > y = 44 \times 4 \\ \\ = > y = 176$

Therefore,

$= > x = 300 - 176 \\ \\ = > x = 124$

Therefore,

number of boys = 124

number of girls = 176

Hence,

No. of more girls = (176-124) = 52