A class of 20 boys and 15 girls is divided into n groups so that each group has n boys and girls. find x,y, and n. what values are reffered in a class
Answers
Answer:
The values of n = 5 , x = 4 , y = 3
To find:
Find x, y, and n values which are referred in a class
Solution:
Given :
A total of 20 boys and 15 girls in a class is divided into n number of groups which has n boys and girls.
In a class, there are 20 boys and 15 girls .
Let x be the number of boys and y be the number of girls.
The total of 20 boys and 15 girls in a class is divided into n number of groups. This can be written as
Number of groups = 35/n
Thus, we can say that
(x + y) = 35/n
nx + ny = 35 = 20 + 15
Total number of boys = nx = 20 = 2 × 10 or 10 × 2 or 4 × 5 or 5 × 4 .
Total number of girls= ny = 15 = 3 × 5 or 5 × 3.
Thus, nx = 5 x 4 and ny = 5 x 3 because if n = 5, that means total 35 students are divided into 5 groups with 7 students in each group.
Hence, when n = 5 ,x = 4 , y = 3 then only it is possible.