Question

The ratio of boys to girls in a group is 5:3. If there are 16 more boys than girls, work out how many boys there are.

Answer 1

Answer:

No. of boys = 40

Step-by-step explanation:

Let the ratio of Boys to girls be 5x : 3x

A/q

No of boys = 16 + no. of girls

=> 5x = 16 + 3x

=> 5x - 3x = 16

=> 2x = 16

=> x = 16/2

= 8

No. of boys = 5x

= 5 × 8

= 40

Hence , the no. of boys is 40 .

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Answer 2

$\bf\huge\underline{Answer :-}$

$\large{\underline{\boxed{\sf No. \: of \: boys \: are \: = \: 40}}}$

$\bf\huge\underline{Explanation :-}$

Given,

Ratio of boys to girls = 5 : 3

There are 16 more boys than girls

Solution,

Let the no. of girls be x

and the no. of boys = (x + 16)

According to problem,

$\sf\longrightarrow \dfrac{x + 16}{x} = \dfrac{5}{3}$

$\sf\longrightarrow 5x = 3(x + 16)$

$\sf\longrightarrow 5x = 3x - 48$

$\sf\longrightarrow 5x - 3x = 48$

$\sf\longrightarrow 2x = 48$

$\sf\longrightarrow x = \dfrac{48}{2}$

$\sf\huge\therefore x = 24$

Hence, the no. of boys (24 + 16) in the group is 40.