Question

the ratio of number of boys to girls is 8:5. If there are 160 girls, the total number of students in the college ​

Answer 1

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$<b><I><u>Let us take the given ratio be 8x:5x.</b>$

Then Atq, 5x = 160.

or x = (160/5).

Therefore x = 32.

Therefore number of boys = 8x = 8 × 32 = 256.

$<b>Therefore total number of students = (256+160)=416.$

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Answer 2

Answer :-

The total students in the College is 416.

Explanation :-

Given:

Ratio of boys to girls = 8 : 5

Total girls = 160

To find :

The total students of the college

Solution :

Consider the number of boys as 8x

Consider number of girls as 5x

As we are given with the number of girls, we can state that :

$\boxed{\sf{5x = 160 \: girls}}$

$\star$Value of x =

$\implies{\sf{x = \dfrac{160}{5}}}$

$\implies{\sf{x = 32}}$

$\star$Value of 8x (Number of boys) =

$\implies{\sf{8 \times 32}}$

$\implies{\sf{256}}$

$\boxed{\sf{Boys = 256}}$

$\boxed{\sf{Girls = 160}}$

$\star$Sum of the number of total boys and girls :

$\implies{\sf{160 + 256}}$

$\implies{\sf{416}}$

$\therefore$ The total students in the College is 416.