Question

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Answer 1

Question :

In a college, out of 4320 students, 2300 are girls. Find the ratio of

(a) Number of girls to the total number of students.

(b) Number of boys to the number of girls.

(c) Number of boys to the total number of students.

Solution :

Given,

• Total number is students = 4320.
• Total number of girls = 2300.

Now,

Number of boys = Number of students - Number of girls.

Number of boys = 4320 - 2300

Number of boys = 2020.

(a) Number of girls to the total number of students.

$\implies \sf \dfrac {Number \ of \ girls}{Total \ number \ of \ Students}$

$\implies \sf \dfrac {2300}{4320}$

Now,

Dividing both numerator and denominator by 20.

$\implies \sf \dfrac {2300 \div 20}{4320 \div 20}$

$\therefore$ The ratio number of girls to the total number of students is 115 : 216.

(b) Number of boys to the number of girls.

$\implies \sf \dfrac {Number \ of \ boys}{Number \ of \ girls}$

$\implies \sf \dfrac {2020}{2300}$

$\therefore$ Ratio of number of boys to the number of girls is 101 : 115.

(c) Number of boys to the number of students.

$\implies \sf \dfrac {Number \ of \ boys}{Number \ of \ students}$

$\implies \sf \dfrac {2020}{4320}$

$\therefore$ Ratio of number of boys to the number of students is 101 : 216.

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Question :

The length of rectangle is thrice its breadth and it's perimeter is 48cm. Find length and breadth of rectangle.

Solution :

If length of the rectangle is thrice of its breadth.

Therefore, Length = 3x.

${\red{\bf Perimeter \ of \ rectangle \ = \ 2 (l \ + \ b)}}$

$\implies \sf 48 \ = \ 2 (3x \ + \ x)$

$\implies \sf \dfrac {48}{2} \ = \ 4x$

$\implies \sf 24 \ - \ 4x$

$\implies \sf x \ = \ \dfrac {24}{4}$

$\implies \sf x \ = \ 6$

Therefore,

$\sf Length \ = \ 3(6)$

$\sf Length \ = \ 18$

$\therefore$ Length of the rectangle is 18cm.

Now,

Breadth of the rectangle = ?

$\sf Perimeter \ of \ rectangle \ = \ 2(l \ + \ b)$

$\sf Breadth \ = \ 2(18 \ + \ b)$

$\sf Breadth \ = \ \dfrac {18}{2}$

$\bf Breadth \ = \ 9 cm$

$\therefore$ Breadth of the rectangle is 9cm.