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

Answer:

• Number of boys = 630.
• Number of girls = 270.

Step-by-step explanation:

Given :-

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

To find :-

• Number of boys.
• Number of girls.

Solution :-

➊ In order to find the number of girls and boys in school, firstly, let us assume the number of boys be 7x and the number of girls be 3x, since the ratio of boys and girls in the school is 7 : 3.

Given :

• Total number of students = 900
• Number of boys = 7x
• Number of girls = 3x

According to the question :-

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

• By solving this, we will get the value of x.

$\sf \longrightarrow {10x\ =\ 900}$

$\sf \longrightarrow {x\ =\ \dfrac{\cancel{900}}{\cancel{10}}}$

$\sf \longrightarrow {\underline{x\ =\ 90}}\ \bigstar$

➋ Now, we have the value of x, that is, 90. So, now we will find out the number of boys and girls in the school.

• Boys : 7x = 7 × 90 = 630.
• Girls : 3x = 3 × 90 = 270.

∴ Hence, the number of boys is 630 and girls is 270.

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$ ★ Verification ★

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

• Boys = 630
• Girls = 270

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

$\sf \longrightarrow {900\ =\ 900}$

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

$\sf \longrightarrow {\underline{Hence,\ Verified!}}\ \bigstar$

The verification is confirmed now, since L.H.S is equal to the R.H.S.

Answer 2

Answer:

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