Question

105 boys and 140 girls had gone for an excursion party there it was required to divide girls and boys in diffrent groups such that in a group either or girls or boys should be there also no of student shuld be see in all the groups and no of boy or girl is left what should be the maximum number of students in a group so that minimim no of group are formed also find how many groups are formed

Answer 1

The answer is the Hcf of 105 and 140 =35

Answer 2

The maximum number of students in each group is 5, and there are a total of 42 groups; 7 groups of boys and 35 groups of girls.

Given:

105 boys and 140 girls had gone for an excursion party

It was required to divide girls and boys into different groups such that in a group either girls or boys should be there also no of student should be seen in all the groups and no of boy or girl is left.

To find:

What should be the maximum number of students in a group and the minimum no of the group formed also find how many groups are formed

Solution:

Each group can have an 'x' number of either boys or girls, but not both.

Let's assume that there are "a" groups of boys and "b" groups of girls.

=> a + b = total number of groups

Since each group has either boys or girls, the total number of boys and girls must be divisible by the maximum number of students per group:

From the data

105 boys + 140 girls = 245 students

=> 245 = x * (a + b)

Find the maximum value of x, a, and b that satisfies the above equation  

=> 245 = (5 × 49) or (7 × 35) or (35 × 7) or (49 × 5)  

Here we take 245 = (35 × 7)

Hence, there are 7 groups of boys and 35 groups of girls, or vice versa. The maximum number of students in each group would be:

x = 245 / (7 + 35) = 5

Therefore,

The maximum number of students in each group is 5, and there are a total of 42 groups; 7 groups of boys and 35 groups of girls.

Learn more at

https://brainly.in/question/19526340

#SPJ3