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Plugging In: Invisible Plugging In - Percents

Twenty percent of the programmers in a startup company weigh 200 pounds or more. Twenty-five percent of the programmers that are under 200 pounds in that same company weigh 100 pounds or less. What percent of the programmers in the startup company weigh strictly between 100 and 200 pounds?

Correct. [[snippet]] Model the problem using a tree:

Since there are 100 programmers in the company, 20% of them over 200 pounds is simply 20 programmers. Out of the 80 remaining programmers under 200 pounds, 25%, or 20 programmers, are under 100 pounds. That leaves 60 programmers in the 100–200 pound range. The percentage of 60 programmers out of a total of 100 is simply 60%.

Incorrect. [[snippet]]

15%

20%

25%

60%

75%