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.
[tex]1-\frac{1}{6}=\frac{6-1}{6}=\frac{5}{6}[/tex]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.
[tex]\frac{5}{6}\cdot2,850=2,375[/tex]