Question

the ratio of boys and girls in school is 7:3 if there are 900 students in the school, find the number of boys and girls​

Answer 1

Step-by-step explanation:

No. Of boys= 630

No. Of girls =270

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Answer 2

${\underline{\underline{\bf{Given:}}}}$

• The ratio of boys and girls in a school is 7 : 3.
• The total number of students in the school is 900.

${\underline{\underline{\bf{Need\:to\:find:}}}}$

• The number of boys and girls in the school.

${\underline{\underline{\bf{Solution:}}}}$

Let the number of boys be $\sf{7x}$ and number of girls be $\sf{3x}$.

We know that the sum of boys and girls = Total number of students.

So, according to our question,

$\sf{7x +3x = 900}$

By solving this, we get the value of $\sf{x}$.

$\:\:\:\:\:\:\implies{\sf{10x=900}}$

$\:\:\:\:\:\:\implies{\sf{x=\frac{90\cancel{0}}{1\cancel{0}}}}$

$\:\:\:\:\:\:\implies{\underline{\sf{x=90}}}$

We've obtained the value of $\sf{x}$. Finally, now we will be able to find the number of boys and girls.

Number of:

• Boys – $\sf{7x=7\times 90=\red{630}}$
• Girls – $\sf{3x=3\times 90=\red{270}}$

${\underline{\underline{\bf{Verification:}}}}$

$\rightarrow{\sf{Boys+Girls=900}}$

$\rightarrow{\sf{630+270=900}}$

$\rightarrow{\sf{900=900}}$

$\rightarrow{\sf{L.H.S=R.H.S}}$

$\rightarrow{\sf{Hence,\: verified!}}$

${\underline{\underline{\bf{Required\: answer:}}}}$

• Thus, the number of boys and girls in the school is 630 and 270, respectively.

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