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:

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Answer 2

Step-by-step explanation:

\bf\huge\underline{Explanation :-}

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}⟶

x

x+16

=

3

5

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

\sf\longrightarrow 5x = 3x - 48⟶5x=3x−48

\sf\longrightarrow 5x - 3x = 48⟶5x−3x=48

\sf\longrightarrow 2x = 48⟶2x=48

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

2

48

\sf\huge\therefore x = 24∴x=24

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

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