Question

the numbers of boys and girls in a class are in the ratio 7:5. The numbers of boys is 8 more than the numbers of girls. How many boys and girls in the class. *​

Answer 1

Given Information :

• The number of boys and girls in a class are in the ratio 7:5.
• The number of boys is 8 more than the number of girls.

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To calculate :

• The number of boys and gírls in the class.

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Calculation :

Assumption: Let us assume the number of boys as 7x and the number of gírls as 5x.

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$\underline{ \sf{ \bigstar \: According \: to \: the \: Question :}}$

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$\dashrightarrow \sf \: 7x - 5x = 8 \\ \\ \\ \dashrightarrow \sf \: 2x = 8 \\ \\ \\ \dashrightarrow \sf \: x = \cancel\dfrac{8}{2} \\ \\ \\ \dashrightarrow \sf \underline{ \boxed{ \sf{ \pmb{ \pink{x = 4}}}}} \blue{ \bigstar}$

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Now, calculating the total number of boys and girls in the class.

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$\dag \: \underline{ \bf{Number \: of \: boys :}}$

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$\dashrightarrow \sf 7x = 7 \times 4 \\ \\ \\ \dashrightarrow \sf \underline{ \boxed{ \sf{ \pmb{ \red{28}}}}} \rm_{(Total \: number \: of \: boys)}$

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$\dag \: \underline{ \bf{Number \: of \: girls :}}$

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$\dashrightarrow \sf 5x = 5 \times 4 \\ \\ \\ \dashrightarrow \sf \underline{ \boxed{ \sf{ \pmb{ \red{20}}}}} \rm_{(Total \: number \: of \: girls)}$

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Therefore, there are 28 boys and 20 gírls in the class.

Answer 2

$\huge\fbox\orange{QUE}{\colorbox{blue}{ST}}\fbox\green{ION}$

The number of boys and girls in a class are in the ratio 7 : 5. The number of boys is 8 more than the number of girls. How many boys and girls in the class.

$\huge{\underline{\mathtt{\red{A} \pink{N} \green{S} \blue{W} \purple{E} \orange{R}}}}$

$\sf\green{Given :}$

➣ The number of boys and girls in a class are in the ratio 7:5

➣ The number of boys is 8 more than the number of girls

$\sf\pink{To \: Find :}$

➣ The number of boys in the class

➣ The number of girls in the class

$\sf\red{Solution :}$

➪ Let, the number of boys in the class = 7x

➪ Let, the number of girls in the class = 5x

$\:$

➙ It is Given that the number of boys is 8 more than the number of girls

$\:$

⇒ 7x - 5x = 8

⇒ 2x = 8

⇒ x = $\cancel\frac{8}{2}$

⇒ x = 4

$\:$

➤ Number of Boys in the class :—

⟼ Total Number of boys in the class = 7x

⟼ Total Number of boys in the class = 7 × 4

⟼ Total Number of boys in the class = 28

$\:$

➤ Number of Girls in the class :—

⟼ Total Number of girls in the class = 5x

⟼ Total Number of girls in the class = 5 × 4

⟼ Total Number of girls in the class = 20

$\:$

➦$\sf\blue{So,\: the\: Number\: of \:Boys \:is \:28\: and\: the}$

$\sf\blue{Number \:of \:Girls\: in \:the \:class\: is \:20}$