Question

In Pleasantburg, 2,850 people pay taxes. Of these taxpayers, 1/6 pay between $10,000 and $20,000 in taxes per year, inclusive. How many taxpayers pay either more than $20,000 or less than $10,000 in taxes per year?

Answer 1

We know that

• There are 2,850 people that pay taxes.

,

• 1/6 pay between $10,000 and $20,000.

Note that the problem is asking for the number of taxpayers that pay either more than $20,000 or less than $10,000. In other words, they are asking for the complement fraction of 1/6. Remember that the complement fraction can be found by subtracting the fraction from 1.

`1-(1)/(6)=(6-1)/(6)=(5)/(6)`

This means 5/6 of the taxpayers pay more than $20,000 or less than $10,000. Now let's multiply this fraction by the number of people.

`(5)/(6)\cdot2,850=2,375`

Therefore, 2,375 people pay taxes more than $20,000 or less than $10,000.