Question

the no of boys and girl in a class are in the ratio 7:5 the number of boy is 8 more then the number of girls what is the total class strength

Answer 1

hope this helps.......

Answer 2

Answer :

• 48 students are the strength of class .

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Given :

• Ratio of boys and girls = 7:5

• No. of boys is 8 more than girls

To Find :

• Total strength of class

Solution :

• Let the unknown entity to be x , now number of boys will be 7x and number of girls will be 5x .

• According To The Question :

$\implies \sf 7x\:=\:5x\:+\:8$

$\implies \sf 7x\:-\:5x\:=\:8$

$\implies \sf 2x\:=\:8$

$\implies \sf x\:=\: \dfrac{8}{2}$

$\implies \sf x\:=\:4$

• Therefore , no. of boys = 7x = 7(4) = 28

and no. of girls = 5(4) = 20

• Total strength = 28 + 20 = 48

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• Verification :

No . of boys = 8 more than no. of girls

→ 7(4) = 5(4) + 8

→ 28 = 20 + 8

→ 28 = 28

• Since , LHS is equal to RHS , result is correct .

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