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In a class othe ratio of the number of boys to the number of girls is 5:6.if there are 20 boys in the xlass, how any pupils are in the class

Respuesta :

supersammy
There would be 24 girls in the class.

5:6 is equal to the proportion 20:24. You know that the number of boys is 20, which is 4 times the ratio of boys, so you multiply 6 by 4 to get 24.
Itzisabella

Let the number of girls be x.

According to the question,

[tex] \implies \: \dfrac{5}{6} = \dfrac{20}{x} [/tex]

[tex] \implies \: 5x = 20 \times 6[/tex]

[tex] \implies \: 5x = 120[/tex]

[tex] \implies \: x = \cancel\dfrac{120}{5} [/tex]

[tex] \implies \: x = 24[/tex]

[tex] \cal \therefore \: Number \: of \: girls \: are \: 24.[/tex]

Now,

Pupils in the class = Boys + Girls

[tex] \rightarrow20 + 24[/tex]

[tex] \rightarrow44[/tex]

Total number of pupils are 44 .

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