There are 1000 households in a town Specifically there are 1

There are 1000 households in a town. Specifically, there are 100 households with one member, 200 households with 2 members, 300 households with 3 members, 200 households with 4 members, 100 households with 5 members, and 100 households with 6 members. Thus, the total number of people living in the twon is N = 100 middot 1 + 200 middot 2 + 300 middot 3 + 200 middot 4 + 100 middot 5 + 100 middot 6 = 3300

Solution

We need to find the total number of people living in the town.

Since 100 households have 1 member each, therefore total number of people for 100 households = 100X1=100

200 households have 2 member each, therefore total number of people for 200 households =200X2=400

300 households have 3 member each, therefore total number of people for 300 households = 300X3=900

200 households have 4 member each, therefore total number of people for 200 households =200X4= 800

100 households have 5 member each, therefore total number of people for 100 households = 100X5=500

100 households have 6 member each, therefore total number of people for 100 households = 100X6=600

Now, total number of members living in the town = 100+400+900+800+500+600

= 3300