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. *
Answers
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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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Now, calculating the total number of boys and girls in the class.
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Therefore, there are 28 boys and 20 gírls in the class.
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.
➣ 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
➣ The number of boys in the class
➣ The number of girls in the class
➪ 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 =
⇒ 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
➦