There are 1800 books in a library if the ratio of English , Maths and Science is 6:7:5, then find the number of books of each subject

Question

There are 1800 books in a library if the ratio of English , Maths and Science is
6:7:5, then find the number of books of each subject.

in progress 0
4 weeks 2021-08-14T13:48:59+00:00 2 Answers 0 views 0

1. Step-by-step explanation:

Let the number of books be 6x,7x and 5x

According to Question

6x+7x+5x=1800

13x+5x=1800

18x=1800

X=1800/18

X=100

6x=6×100=600

7x=7×100=700

5x=5×100=500

therefore, the number of books of each subject are 600,700 and 500 respectively.

2. Given :-

• There are 1800 books in a library if the ratio of English , Maths and Science is 6:7:5.

To find :-

• The number of books of each subject.

Solution :-

• Total number of books = 1800
• The ratio of English , Maths and Science = 6 : 7 : 5

Let the English books be 6x, Maths books be 7x and Science books be 5x

According to question

→ English + Maths + Science = 1800

→ 6x + 7x + 5x = 1800

→ 18x = 1800

→ x = 1800/18

→ x = 100

Hence,

• English books = 6x = 600
• Maths books = 7x = 700
• Science books = 5x = 500

Verification:–

→ English + Maths + Science = 1800

→ 600 + 700 + 500 = 1800

→ 600 + 1200 = 1800

→ 1800 = 1800

• Therefore verified