there are 120 boys in a class and 114 girls in class 10 of a school. principal of the school decided as a policy matter to have maximum number of mixed sections each section has to accomodate equal number of girls and boys. what is the maximum number of such sections?
Answers
Answer:
Step-by-step explanation:
By using euclids lemma
120 =114×1+6
114=6×19+ 0
Therefore maximum no of class is 6
The maximum number of such sections is 6
Solution:
Given that,
There are 120 boys in a class and 114 girls in class 10 of a school
They decided to have maximum number of mixed sections each section has to accomodate equal number of girls and boys
From given,
Total boys = 120
Total girls = 114
To find: maximum number of such sections
Which means, we have to find the greatest common factor of 120 and 114
Find GCF of 120 and 114
The factors of 114 are: 1, 2, 3, 6, 19, 38, 57, 114
The factors of 120 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Then the greatest common factor is 6
Thus the maximum number of such sections is 6
Learn more about this topic
A PT teacher wants to arrange a maximum possible number of 5948 students in a playground such that the number of rows is equal to the number of columns. Find the number of rows if 19 students were left out after the arrangement.
https://brainly.in/question/412729
In your school library, there are 780 books of English and 364 books of Science. Ms. Neha, the Librarian of your school wants to store these books in shelves such that each shelf should have the same number of books of each subject. What should be the minimum number of books in each shelf?
https://brainly.in/question/1658386