Question

In a survey for a certain issue of 6,400 people, 35% agree, 60% disagree and the rest have no opinion. How many people agree, disagree and have no opinion?

Answer 1

`"Agree"=>6400xx0.35=2240`
`"Disagree"=>6400xx0.6=3840`
`"No Opinion"=>6400xx0.05=320`

Explanation:

Let's first remember that when dealing with percentages, we use 100% to represent "everything". The 6,400 people is "everyone" who was surveyed, and so we want the percentages showing the results to add up to 100%.

We have 35% agree
We have 60% disagree

Which means we have `100%-35%-60%=5%` who have no opinion.

Let's next remember that we can work with percentages by remembering we can change them into decimals:

`35%=0.35`
`60%=0.6`
`5%=0.05`

And now let's see how many people had each opinion:

`"Agree"=>6400xx0.35=2240`
`"Disagree"=>6400xx0.6=3840`
`"No Opinion"=>6400xx0.05=320`