Question

13. The ratio of the number of girls to the number of boys
in a class is 4:3. If the number of girls is 8 more than
the number of boys, find the total number of boys and
girls in the class.​

Answer 1

✯ ᴀɴsᴡᴇʀ ✯

➪ ratio of number of girls to the number of boys is 4:3

let number of girls is 4x and number of boys is 3x

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according to question ;

☞ number of girls is 8 more than number of boys

: → 4x = 3x + 8

: → 4x - 3x = 8

: → x = 8

→ x = 8 is a common multiple of number of girls and number of boys.

so,

number of girls = 4 × 8 = 32

number of boys = 3 × 8 = 24

hence, there are 32 girls and 24 boys in the class

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Answer 2

${\underline{\underline{\frak{Given\;:}}}}$

⠀⠀⠀⠀⠀⠀⠀

• The ratio of the no. of girls to the no. of boys in a class is 4:3.

⠀⠀⠀⠀⠀⠀⠀

${\underline{\underline{\frak{To\:find\;:}}}}$

⠀⠀⠀⠀⠀⠀⠀

• Total no. of boys and girls in class?

⠀⠀⠀⠀⠀⠀⠀

${\underline{\underline{\frak{Solution\;:}}}}$

⠀⠀⠀⠀⠀⠀⠀

• Ratio of the no. of girls to the no. of boys in a class is 4:3.

⠀⠀⠀⠀⠀

☯ Let no. of boys and girls in class be 4x and 3x respectively.

⠀⠀⠀⠀⠀⠀⠀

$\underline{\bigstar\:\boldsymbol{According\:to\:the\:question\::}}$

• No. of girls is 8 more than the no. of boys.

⠀

$:\implies\sf 4x = 3x + 8$

$:\implies\sf 4x = 3x + 8$

$:\implies\sf 4x - 3x = 8$

$:\implies{\boxed{\sf{\pink{x = 8}}}}\:\bigstar$

Therefore,

⠀

• Number of girls = 4x = 4 × 8 = 32 years
• Number of boys = 3x = 3 × 8 = 24 years

⠀

$\therefore$ Hence, the number of girls and boys in a class is 32 years and 24 years respectively.