Answer:

• Number of boys = 805
• Total number of students = 2185

Explanation:

Given ratio of boys and girls in a school is 7 : 12

There are 1380 girls in number.

Find the number of boys and of total students.

Let's assume the common ratio as [tex]\boldsymbol x[/tex]

Then,

• Number of boys = [tex]7x[/tex]
• Number of girls = [tex]12x[/tex]

According to the question,

[tex]\implies 12x = 1380[/tex]

[tex]\implies x = \dfrac{1380}{12}[/tex]

[tex]\therefore x = 115[/tex]

So, number of boys are :-

• [tex]7x = 7(115) = \bf 805[/tex]

Hence, total students :-

= Number of boys + Number of girls

= 805 + 1380

= 2185.

∴ Required answer: 2185.

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QUESTION :-

• The Ratio of The Number of Boys and girls in a school is 7 : 12. If The Number of girls in the school is 1380 Find The Number of Boys and The Total number Of students in the school.

SOLUTION :-

• It is given that ratio of girls to boys = 7: 12

Let the number of girls in the school be x then,

7:12 = x : 1380

7 : 12 : : x : 1380

12 × x = 7 × 1380

[Product of means =

Product of extremes]

x = 7 × 1380/12 = 805

Number of girls in the school = 805

Total number of students in the school

= (805 + 1380) = 2185