The number of girls in a school is 160 more than 13 of the total enrollment in the school. The number of boys is 280 more than 17 of the total enrollment in the school. How many pupils in the school are girls?

Question

Satt Academy · Accepted Answer

প্রশ্নে বলা হচ্ছে যে, একটি স্কুলে ছাত্রীর সংখ্যা মোট ভর্তিকৃত ছাত্রছাত্রীর $\frac{1}{3}$ অংশের চেয়ে 160 জন বেশি। ছাত্রদের সংখ্যা মোট ভর্তিকৃত ছাত্রছাত্রীর সংখ্যার অংশের চেয়ে 280 জন বেশি। স্কুলটিতে কত জন ছাত্রী রয়েছে?

Let, the number of girls be x

The number of boys by y

And z stands for total number of pupils.

According to question

$z = x + y . . . . . . . . . (i) x = \frac{z}{3} + 160 . . . . . . . . . . . . (i i) y = \frac{z}{7} + 280 . . . . . . . . . . . . . . (i i i) N o w, p u t t i n g t h e v a l u e o f x a n d y i n e q u a t i o n (i), w e g e t z = \frac{z}{3} + 160 + \frac{z}{7} + 280 \Rightarrow z - \frac{z}{3} - \frac{z}{7} = 440 \Rightarrow \frac{21 z - 7 z - 3 z}{21} = 440 \Rightarrow 11 z = 440 \times 21 ∴ z = \frac{440 \times 21}{11} = 840 P u t t i n g v a l u e o f z i n e q u a t i o n (i i i) y = \frac{840}{7} + 280 \Rightarrow y = 120 + 280 = 400 ∴ y = 400 A g a i n, p u t t i n g v a l u e o f z i n e q u a t i o n (i i), w e g e t x = \frac{840}{3} + 160 \Rightarrow x = 280 + 160 = 440 ∴ x = 440 a n s : N u m b e r o f g i r l s i s 440 .$

The number of girls in a school is 160 more than $\frac{1}{3}$ of the total enrollment in the school. The number of boys is 280 more than $\frac{1}{7}$ of the total enrollment in the school. How many pupils in the school are girls?
(Equation)

Question:
The number of girls in a school is 160 more than $\frac{1}{3}$ of the total enrollment in the school. The number of boys is 280 more than $\frac{1}{7}$ of the total enrollment in the school. How many pupils in the school are girls?
(Equation)

গণিত

Related Question

Promotion

The number of girls in a school is 160 more than 13 of the total enrollment in the school. The number of boys is 280 more than 17 of the total enrollment in the school. How many pupils in the school are girls? (Equation)

Question: The number of girls in a school is 160 more than 13 of the total enrollment in the school. The number of boys is 280 more than 17 of the total enrollment in the school. How many pupils in the school are girls? (Equation)

গণিত

Related Question

Promotion

The number of girls in a school is 160 more than $\frac{1}{3}$ of the total enrollment in the school. The number of boys is 280 more than $\frac{1}{7}$ of the total enrollment in the school. How many pupils in the school are girls?
(Equation)

Question:
The number of girls in a school is 160 more than $\frac{1}{3}$ of the total enrollment in the school. The number of boys is 280 more than $\frac{1}{7}$ of the total enrollment in the school. How many pupils in the school are girls?
(Equation)