Question

The ratio of boys to girls in a class is 4:5. What fraction of the class are boys? what fraction of the class are girls?

Answer 1

Answer:

$\frac{4}{9}$ Fraction of class are boys  and $\frac{5}{9}$ Fraction of class are girls

Step-by-step explanation:

We are given that the ratio of boys and girls is 4:5

Let the ratio be x

No. of boys = 4x

No. of girls = 5x

Total students = 4x+5x=9x

Fraction of class are boys = $\frac{\text{No. of boys}}{\text{Total students}}$

                                           = $\frac{4x}{9x}$

                                           = $\frac{4}{9}$

So, $\frac{4}{9}$ Fraction of class are boys

Fraction of class are girls = $\frac{\text{No. of girls}}{\text{Total students}}$

                                           = $\frac{54x}{9x}$

                                           = $\frac{5}{9}$

So, $\frac{5}{9}$ Fraction of class are girls

Hence  $\frac{4}{9}$ Fraction of class are boys  and $\frac{5}{9}$ Fraction of class are girls

Answer 2

Answer:

$i)Fraction \: of \: the\:boys\:in \\ class \\=\frac{4}{9}$

$ii)Fraction \: of \: the\:girls\:in \\ class \\=\frac{5}{9}$

Step-by-step explanation:

$Given \: ratio \: of \: boys\\to \: girls \: in \: a \: class = 4:5$

$Let \: number \: of \: boys = 4x\: and \\number \: of \: girls = 5x$

$Total \: strength \: of \: the\:class \\= 4x+5x\\=9x$

$i)Fraction \: of \: the\:boys\:in \\ class \\=\frac{Number \: boys }{Total \: strength }\\=\frac{4x}{9x}\\=\frac{4}{9}$

$ii)Fraction \: of \: the\:girls\:in \\ class \\=\frac{Number \: girls }{Total \: strength }\\=\frac{5x}{9x}\\=\frac{5}{9}$

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