Question

Several people form groups with four people in each group.Write an expression for the number of groups formed by p people. How many groups are formed if there are 28 people?

Answer 1

Number of groups formed by 'p' people =
`(p)/(4)`

Number of groups formed with 28 people = 7

Explanation:

We are given that, there are 4 people in 1 group.

Now, at first we have to find the number of groups formed by 'p' people.

Here, we will use the unitary method.

Number of group formed with 4 people = 1

So, number of group formed with 1 person =
`(1)/(4)`

∴ number of groups formed with 'p' people =
`(1)/(4)*\;p=(p)/(4)`

So, the required expression for the number of groups formed by 'p' people is
`(p)/(4)`

Now, secondly we have to find the number of groups formed by 28 people.

As, we know that number of groups formed with 'p' people =
`(p)/(4)`

Now, putting 'p' = 28 in the expression obtained above, we get

number of groups formed by 28 people =
`(28)/(4) =7`

So, there are 7 groups formed with 28 people.